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23103202010031 = 321113177103148663
BaseRepresentation
bin1010100000011001000100…
…01001100010001110101111
310000210122101212112002100200
411100030202021202032233
511012010324203310111
6121045244154524543
74603102611625503
oct520144211421657
9100718355462320
1023103202010031
1173a80162653a0
12271167b736753
13cb7812b16a60
1459c2b5564303
152a0e799ad256
hex1503222623af

23103202010031 has 96 divisors (see below), whose sum is σ = 41517759209472. Its totient is φ = 12162787476480.

The previous prime is 23103202010027. The next prime is 23103202010129. The reversal of 23103202010031 is 13001020230132.

23103202010031 is a `hidden beast` number, since 2 + 310 + 320 + 2 + 0 + 1 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 23103202010031 - 22 = 23103202010027 is a prime.

It is a super-2 number, since 2×231032020100312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23103202009986 and 23103202010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23103202014031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155332206 + ... + 155480868.

It is an arithmetic number, because the mean of its divisors is an integer number (432476658432).

Almost surely, 223103202010031 is an apocalyptic number.

23103202010031 is a deficient number, since it is larger than the sum of its proper divisors (18414557199441).

23103202010031 is a wasteful number, since it uses less digits than its factorization.

23103202010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155813 (or 155810 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23103202010031 its reverse (13001020230132), we get a palindrome (36104222240163).

The spelling of 23103202010031 in words is "twenty-three trillion, one hundred three billion, two hundred two million, ten thousand, thirty-one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 7103 7293 21309 21879 63927 78133 92339 120751 148663 234399 277017 362253 445989 703197 831051 1015729 1086759 1328261 1337967 1569763 1635293 1932619 2527271 3047187 3984783 4709289 4905879 5797857 7581813 9141561 11954349 14127867 14717637 17267393 17393571 21258809 22745439 27799981 32854523 51802179 63776427 83399943 98563569 155406537 191329281 250199829 295690707 361399753 1055953289 1084199259 3167859867 3252597777 9503579601 11615486179 13727392757 17951205913 34846458537 41182178271 53853617739 104539375611 123546534813 151001320327 161560853217 197463265043 233365676869 453003960981 592389795129 700097030607 1359011882943 1777169385387 2100291091821 2567022445559 7701067336677 23103202010031