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202123123131330 = 232519508911511733
BaseRepresentation
bin101101111101010001110100…
…111101001000001111000010
3222111122210002222101000210200
4231331101310331020033002
5202443041124010200310
61553514025250310030
760400625262213252
oct5575216475101702
9874583088330720
10202123123131330
1159447a3173a025
121a804994b88316
1388a2189a740cb
1437cab50515962
151857a462d99c0
hexb7d474f483c2

202123123131330 has 48 divisors (see below), whose sum is σ = 525522859538040. Its totient is φ = 53899218537984.

The previous prime is 202123123131311. The next prime is 202123123131331. The reversal of 202123123131330 is 33131321321202.

202123123131330 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 3 + 12 + 313 + 1 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140334420916089 + 61788702215241 = 11846283^2 + 7860579^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202123123131294 and 202123123131303.

It is not an unprimeable number, because it can be changed into a prime (202123123131331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11802144 + ... + 23313876.

Almost surely, 2202123123131330 is an apocalyptic number.

202123123131330 is an abundant number, since it is smaller than the sum of its proper divisors (323399736406710).

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

202123123131330 is a wasteful number, since it uses less digits than its factorization.

202123123131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706835 (or 11706832 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 202123123131330 its reverse (33131321321202), we get a palindrome (235254444452532).

The spelling of 202123123131330 in words is "two hundred two trillion, one hundred twenty-three billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 195089 390178 585267 975445 1170534 1755801 1950890 2926335 3511602 5852670 8779005 11511733 17558010 23023466 34535199 57558665 69070398 103605597 115117330 172675995 207211194 345351990 518027985 1036055970 2245812479237 4491624958474 6737437437711 11229062396185 13474874875422 20212312313133 22458124792370 33687187188555 40424624626266 67374374377110 101061561565665 202123123131330