Search a number
-
+
100023031113102 = 23253811129279833
BaseRepresentation
bin10110101111100001101101…
…001111010010010110001110
3111010011002221000102022000200
4112233201231033102112032
5101102234131431104402
6552421540211234330
730032265645314466
oct2657415517222616
9433132830368020
10100023031113102
1129963590517349
12b2751728a89a6
1343a71927a9916
141a9b1d78bcba6
15b86c666c821c
hex5af86d3d258e

100023031113102 has 48 divisors (see below), whose sum is σ = 221077824288048. Its totient is φ = 32671599143040.

The previous prime is 100023031113067. The next prime is 100023031113113. The reversal of 100023031113102 is 201311130320001.

100023031113102 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 30 + 311 + 1 + 310 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63866223 + ... + 65413610.

It is an arithmetic number, because the mean of its divisors is an integer number (4605788006001).

Almost surely, 2100023031113102 is an apocalyptic number.

100023031113102 is an abundant number, since it is smaller than the sum of its proper divisors (121054793174946).

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

100023031113102 is a wasteful number, since it uses less digits than its factorization.

100023031113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129280705 (or 129280702 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100023031113102 its reverse (201311130320001), we get a palindrome (301334161433103).

The spelling of 100023031113102 in words is "one hundred trillion, twenty-three billion, thirty-one million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 811 954 1622 2433 4866 7299 14598 42983 85966 128949 257898 386847 773694 129279833 258559666 387839499 775678998 1163518497 2327036994 6851831149 13703662298 20555493447 41110986894 61666480341 104845944563 123332960682 209691889126 314537833689 629075667378 943613501067 1887227002134 5556835061839 11113670123678 16670505185517 33341010371034 50011515556551 100023031113102