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202131142551 = 33131317016271
BaseRepresentation
bin1011110000111111110…
…1000111011110010111
3201022201212101221111000
42330033331013132113
511302431033030201
6232505135514343
720413666235412
oct2741775073627
9638655357430
10202131142551
11787a5840138
12332113889b3
13160a39c2080
149ad7156b79
1553d05ddd86
hex2f0ff47797

202131142551 has 64 divisors (see below), whose sum is σ = 325465620480. Its totient is φ = 123243120000.

The previous prime is 202131142481. The next prime is 202131142583. The reversal of 202131142551 is 155241131202.

It is a happy number.

202131142551 is a `hidden beast` number, since 20 + 21 + 31 + 1 + 42 + 551 = 666.

It is not a de Polignac number, because 202131142551 - 211 = 202131140503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131142151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32229546 + ... + 32235816.

It is an arithmetic number, because the mean of its divisors is an integer number (5085400320).

Almost surely, 2202131142551 is an apocalyptic number.

202131142551 is a deficient number, since it is larger than the sum of its proper divisors (123334477929).

202131142551 is a wasteful number, since it uses less digits than its factorization.

202131142551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7125 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 202131142551 its reverse (155241131202), we get a palindrome (357372273753).

The spelling of 202131142551 in words is "two hundred two billion, one hundred thirty-one million, one hundred forty-two thousand, five hundred fifty-one".

Divisors: 1 3 9 13 27 39 117 131 351 393 701 1179 1703 2103 3537 5109 6271 6309 9113 15327 18813 18927 27339 45981 56439 81523 82017 91831 169317 244569 246051 275493 733707 821501 826479 1193803 2201121 2464503 2479437 3581409 4395971 7393509 10679513 10744227 13187913 22180527 32038539 32232681 39563739 57147623 96115617 118691217 171442869 288346851 514328607 575872201 1542985821 1727616603 5182849809 7486338613 15548549427 22459015839 67377047517 202131142551