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1312103211102 = 233101479502247
BaseRepresentation
bin10011000101111111011…
…100100010000001011110
311122102202201200021121000
4103011333130202001132
5132444141410223402
62442434421251130
7163540066163205
oct23057734420136
94572681607530
101312103211102
114665070688a2
12192364863aa6
1396966758208
1447712b9223c
15241e6781c1c
hex1317f72205e

1312103211102 has 64 divisors (see below), whose sum is σ = 2950807449600. Its totient is φ = 432132458400.

The previous prime is 1312103211053. The next prime is 1312103211103. The reversal of 1312103211102 is 2011123012131.

1312103211102 is a `hidden beast` number, since 1 + 31 + 210 + 321 + 1 + 102 = 666.

It is a super-2 number, since 2×13121032111022 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312103211103) 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, 2361343 + ... + 2863589.

It is an arithmetic number, because the mean of its divisors is an integer number (46106366400).

Almost surely, 21312103211102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312103211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475403724800).

1312103211102 is an abundant number, since it is smaller than the sum of its proper divisors (1638704238498).

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

1312103211102 is a wasteful number, since it uses less digits than its factorization.

1312103211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502838 (or 502832 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1312103211102 its reverse (2011123012131), we get a palindrome (3323226223233).

The spelling of 1312103211102 in words is "one trillion, three hundred twelve billion, one hundred three million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 479 606 909 958 1437 1818 2727 2874 4311 5454 8622 12933 25866 48379 96758 145137 290274 435411 502247 870822 1004494 1306233 1506741 2612466 3013482 4520223 9040446 13560669 27121338 50726947 101453894 152180841 240576313 304361682 456542523 481152626 721728939 913085046 1369627569 1443457878 2165186817 2739255138 4330373634 6495560451 12991120902 24298207613 48596415226 72894622839 145789245678 218683868517 437367737034 656051605551 1312103211102