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13123312212312 = 23 ⋅ 34 ⋅ 71 ⋅ 149 ⋅ 1914361
BaseRepresentation
bin1011111011111000001001…
……0111001101100101011000
31201110120120012011221220000
42332332002113031211120
53210003020411243222
643524433313133000
72523061624201431
oct276760227154530
951416505157800
1013123312212312
1141aa62468aa65
12157b47685a160
137426a513c613
14335259206488
1517b57a3039ac
hexbef825cd958

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(max 15 digits)

13123312212312 has 160 divisors (see below), whose sum is σ = 37525323924000. Its totient is φ = 4283878233600.

The previous prime is 13123312212293. The next prime is 13123312212313. The reversal of 13123312212312 is 21321221332131.

13123312212312 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 331 + 2 + 2 + 12 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123312212313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5898012 + ... + 7812372.

It is an arithmetic number, because the mean of its divisors is an integer number (234533274525).

Almost surely, 213123312212312 is an apocalyptic number.

13123312212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123312212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18762661962000).

13123312212312 is an abundant number, since it is smaller than the sum of its proper divisors (24402011711688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123312212312 is a wasteful number, since it uses less digits than its factorization.

13123312212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914599 (or 1914586 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13123312212312 its reverse (21321221332131), we get a palindrome (34444533544443).

The spelling of 13123312212312 in words is "thirteen trillion, one hundred twenty-three billion, three hundred twelve million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 149 162 213 216 284 298 324 426 447 568 596 639 648 852 894 1192 1278 1341 1704 1788 1917 2556 2682 3576 3834 4023 5112 5364 5751 7668 8046 10579 10728 11502 12069 15336 16092 21158 23004 24138 31737 32184 42316 46008 48276 63474 84632 95211 96552 126948 190422 253896 285633 380844 571266 761688 856899 1142532 1713798 1914361 2285064 3427596 3828722 5743083 6855192 7657444 11486166 15314888 17229249 22972332 34458498 45944664 51687747 68916996 103375494 135919631 137833992 155063241 206750988 271839262 285239789 310126482 407758893 413501976 543678524 570479578 620252964 815517786 855719367 1087357048 1140959156 1223276679 1240505928 1631035572 1711438734 2281918312 2446553358 2567158101 3262071144 3422877468 3669830037 4893106716 5134316202 6845754936 7339660074 7701474303 9786213432 10268632404 11009490111 14679320148 15402948606 20252025019 20537264808 22018980222 23104422909 29358640296 30805897212 40504050038 44037960444 46208845818 60756075057 61611794424 81008100076 88075920888 92417691636 121512150114 162016200152 182268225171 184835383272 243024300228 364536450342 486048600456 546804675513 729072900684 1093609351026 1458145801368 1640414026539 2187218702052 3280828053078 4374437404104 6561656106156 13123312212312