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13012122312 = 2333712767763
BaseRepresentation
bin11000001111001010…
…10011101011001000
31020120211121022011000
430013211103223020
5203122100403222
65551102535000
7640311133440
oct140745235310
936524538130
1013012122312
1155780050a2
122631897460
1312c4a57577
148b6203120
155125489ac
hex307953ac8

13012122312 has 128 divisors (see below), whose sum is σ = 41634201600. Its totient is φ = 3688421184.

The previous prime is 13012122307. The next prime is 13012122353. The reversal of 13012122312 is 21322121031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158143 + ... + 225905.

It is an arithmetic number, because the mean of its divisors is an integer number (325267200).

Almost surely, 213012122312 is an apocalyptic number.

13012122312 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 13012122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20817100800).

13012122312 is an abundant number, since it is smaller than the sum of its proper divisors (28622079288).

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

13012122312 is a wasteful number, since it uses less digits than its factorization.

13012122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67912 (or 67902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13012122312 its reverse (21322121031), we get a palindrome (34334243343).

The spelling of 13012122312 in words is "thirteen billion, twelve million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 889 1016 1143 1512 1524 1778 2286 2667 3048 3429 3556 4572 5334 6858 7112 8001 9144 10668 13716 16002 21336 24003 27432 32004 48006 64008 67763 96012 135526 192024 203289 271052 406578 474341 542104 609867 813156 948682 1219734 1423023 1626312 1829601 1897364 2439468 2846046 3659202 3794728 4269069 4878936 5692092 7318404 8538138 8605901 11384184 12807207 14636808 17076276 17211802 25614414 25817703 34152552 34423604 51228828 51635406 60241307 68847208 77453109 102457656 103270812 120482614 154906218 180723921 206541624 232359327 240965228 309812436 361447842 464718654 481930456 542171763 619624872 722895684 929437308 1084343526 1445791368 1626515289 1858874616 2168687052 3253030578 4337374104 6506061156 13012122312