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61131357 = 3271635953
BaseRepresentation
bin1110100100110…
…0101001011101
311021000210110100
43221030221131
5111122200412
610022131313
71341415350
oct351145135
9137023410
1061131357
1131563991
1218580b39
13c884c01
148194297
155577edc
hex3a4ca5d

61131357 has 24 divisors (see below), whose sum is σ = 101551424. Its totient is φ = 34712064.

The previous prime is 61131319. The next prime is 61131383. The reversal of 61131357 is 75313116.

It is a de Polignac number, because none of the positive numbers 2k-61131357 is a prime.

It is a super-2 number, since 2×611313572 = 7474085617322898, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61131357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61131157) 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, 7293 + ... + 13245.

Almost surely, 261131357 is an apocalyptic number.

It is an amenable number.

61131357 is a deficient number, since it is larger than the sum of its proper divisors (40420067).

61131357 is a wasteful number, since it uses less digits than its factorization.

61131357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6126 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 61131357 is about 7818.6544238763. The cubic root of 61131357 is about 393.9320766383.

The spelling of 61131357 in words is "sixty-one million, one hundred thirty-one thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 21 63 163 489 1141 1467 3423 5953 10269 17859 41671 53577 125013 375039 970339 2911017 6792373 8733051 20377119 61131357