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202131210323313 = 32177871678677283
BaseRepresentation
bin101101111101011001010110…
…111111010100010101110001
3222111200112222120211221121200
4231331121112333110111301
5202443204204320321223
61553521443543041413
760401332552212405
oct5575312677242561
9874615876757550
10202131210323313
1159450401750067
121a806471440269
1388a2b78394ccb
1437cb2ba5d9105
151857d6b2a9a43
hexb7d656fd4571

202131210323313 has 24 divisors (see below), whose sum is σ = 309534661751328. Its totient is φ = 126666272990592.

The previous prime is 202131210323303. The next prime is 202131210323327. The reversal of 202131210323313 is 313323012131202.

202131210323313 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 3 + 1 + 21 + 0 + 323 + 313 = 666.

It is not a de Polignac number, because 202131210323313 - 28 = 202131210323057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202131210323303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 839218231 + ... + 839459052.

It is an arithmetic number, because the mean of its divisors is an integer number (12897277572972).

Almost surely, 2202131210323313 is an apocalyptic number.

It is an amenable number.

202131210323313 is a deficient number, since it is larger than the sum of its proper divisors (107403451428015).

202131210323313 is a wasteful number, since it uses less digits than its factorization.

202131210323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678678093 (or 1678678090 counting only the distinct ones).

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

Adding to 202131210323313 its reverse (313323012131202), we get a palindrome (515454222454515).

The spelling of 202131210323313 in words is "two hundred two trillion, one hundred thirty-one billion, two hundred ten million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 787 2361 7083 13379 40137 120411 1678677283 5036031849 15108095547 28537513811 85612541433 256837624299 1321119021721 3963357065163 11890071195489 22459023369257 67377070107771 202131210323313