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202123133112312 = 23326734171271527
BaseRepresentation
bin101101111101010001110101…
…100011001100111111111000
3222111122210010200011010010200
4231331101311203030333320
5202443041134034043222
61553514030244242200
760400625443103316
oct5575216543147770
9874583120133120
10202123133112312
1159447a37336975
121a8049983a0360
1388a218bb5a109
1437cab519930b6
151857a4710beac
hexb7d4758ccff8

202123133112312 has 48 divisors (see below), whose sum is σ = 548230216925040. Its totient is φ = 67274267171328.

The previous prime is 202123133112289. The next prime is 202123133112349. The reversal of 202123133112312 is 213211331321202.

202123133112312 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 3 + 1 + 331 + 12 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2085587308 + ... + 2085684219.

It is an arithmetic number, because the mean of its divisors is an integer number (11421462852605).

Almost surely, 2202123133112312 is an apocalyptic number.

It is an amenable number.

202123133112312 is an abundant number, since it is smaller than the sum of its proper divisors (346107083812728).

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

202123133112312 is a wasteful number, since it uses less digits than its factorization.

202123133112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171272212 (or 4171272205 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 202123133112312 its reverse (213211331321202), we get a palindrome (415334464433514).

The spelling of 202123133112312 in words is "two hundred two trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 673 1346 2019 2692 4038 5384 6057 8076 12114 16152 24228 48456 4171271527 8342543054 12513814581 16685086108 25027629162 33370172216 37541443743 50055258324 75082887486 100110516648 150165774972 300331549944 2807265737671 5614531475342 8421797213013 11229062950684 16843594426026 22458125901368 25265391639039 33687188852052 50530783278078 67374377704104 101061566556156 202123133112312