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103013033311212 = 223474631297304153
BaseRepresentation
bin10111011011000010010111…
…010000011111101111101100
3111111201221122102001121120220
4113123002113100133233230
5102000231143011424322
61003031311215211340
730461305665543243
oct2733022720375754
9444657572047526
10103013033311212
112a90664483a532
12b678748516b50
134563119c0b9cb
141b61c00a6595a
15bd991334555c
hex5db09741fbec

103013033311212 has 96 divisors (see below), whose sum is σ = 246198540521472. Its totient is φ = 33508537767936.

The previous prime is 103013033311211. The next prime is 103013033311247. The reversal of 103013033311212 is 212113330310301.

It is a super-2 number, since 2×1030130333112122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103013033311211) 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, 338536128 + ... + 338840280.

It is an arithmetic number, because the mean of its divisors is an integer number (2564568130432).

Almost surely, 2103013033311212 is an apocalyptic number.

103013033311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103013033311212 is an abundant number, since it is smaller than the sum of its proper divisors (143185507210260).

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

103013033311212 is a wasteful number, since it uses less digits than its factorization.

103013033311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305967 (or 305965 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103013033311212 its reverse (212113330310301), we get a palindrome (315126363621513).

The spelling of 103013033311212 in words is "one hundred three trillion, thirteen billion, thirty-three million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 463 564 926 1297 1389 1852 2594 2778 3891 5188 5556 7782 15564 21761 43522 60959 65283 87044 121918 130566 182877 243836 261132 304153 365754 600511 608306 731508 912459 1201022 1216612 1801533 1824918 2402044 3603066 3649836 7206132 14295191 28224017 28590382 42885573 56448034 57180764 84672051 85771146 112896068 140822839 169344102 171542292 281645678 338688204 394486441 422468517 563291356 788972882 844937034 1183459323 1577945764 1689874068 2366918646 4733837292 6618673433 13237346866 18540862727 19856020299 26474693732 37081725454 39712040598 55622588181 74163450908 79424081196 111245176362 182647222183 222490352724 365294444366 547941666549 730588888732 1095883333098 2191766666196 8584419442601 17168838885202 25753258327803 34337677770404 51506516655606 103013033311212