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1013121330312 = 2337133712537389
BaseRepresentation
bin11101011111000101011…
…11001010110010001000
310120212001011112001211210
432233202233022302020
5113044333030032222
62053231014053120
7133124043135240
oct16574257126210
93525034461753
101013121330312
11360731640633
1214442434a1a0
13746c983bb10
143706cd56b20
151b548682d0c
hexebe2bcac88

1013121330312 has 128 divisors (see below), whose sum is σ = 3201547910400. Its totient is φ = 259975277568.

The previous prime is 1013121330271. The next prime is 1013121330313. The reversal of 1013121330312 is 2130331213101.

It is a happy number.

It is a super-2 number, since 2×10131213303122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1013121330313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6187887 + ... + 6349502.

It is an arithmetic number, because the mean of its divisors is an integer number (25012093050).

Almost surely, 21013121330312 is an apocalyptic number.

1013121330312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013121330312 is an abundant number, since it is smaller than the sum of its proper divisors (2188426580088).

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

1013121330312 is a wasteful number, since it uses less digits than its factorization.

1013121330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12537455 (or 12537451 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1013121330312 its reverse (2130331213101), we get a palindrome (3143452543413).

The spelling of 1013121330312 in words is "one trillion, thirteen billion, one hundred twenty-one million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 13468 20202 26936 40404 80808 12537389 25074778 37612167 50149556 75224334 87761723 100299112 150448668 162986057 175523446 263285169 300897336 325972114 351046892 463883393 488958171 526570338 651944228 702093784 927766786 977916342 1053140676 1140902399 1303888456 1391650179 1855533572 1955832684 2106281352 2281804798 2783300358 3247183751 3422707197 3711067144 3911665368 4563609596 5566600716 6030484109 6494367502 6845414394 9127219192 9741551253 11133201432 12060968218 12988735004 13690828788 18091452327 19483102506 24121936436 25977470008 27381657576 36182904654 38966205012 42213388763 48243872872 72365809308 77932410024 84426777526 126640166289 144731618616 168853555052 253280332578 337707110104 506560665156 1013121330312