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61357131 = 32111736457
BaseRepresentation
bin1110101000001…
…1110001001011
311021110021011100
43222003301023
5111201412011
610031032443
71343345523
oct352036113
9137407140
1061357131
11316a8580
121866b723
13c9338c4
148212683
1555bed56
hex3a83c4b

61357131 has 24 divisors (see below), whose sum is σ = 102374064. Its totient is φ = 34997760.

The previous prime is 61357067. The next prime is 61357151. The reversal of 61357131 is 13175316.

61357131 is a `hidden beast` number, since 61 + 3 + 571 + 31 = 666.

61357131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61357131 - 26 = 61357067 is a prime.

It is a super-2 number, since 2×613571312 = 7529395049102322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61357095 and 61357104.

It is not an unprimeable number, because it can be changed into a prime (61357151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16546 + ... + 19911.

It is an arithmetic number, because the mean of its divisors is an integer number (4265586).

Almost surely, 261357131 is an apocalyptic number.

61357131 is a deficient number, since it is larger than the sum of its proper divisors (41016933).

61357131 is a wasteful number, since it uses less digits than its factorization.

61357131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36491 (or 36488 counting only the distinct ones).

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

The square root of 61357131 is about 7833.0792795682. The cubic root of 61357131 is about 394.4164453636.

The spelling of 61357131 in words is "sixty-one million, three hundred fifty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 36457 109371 328113 401027 619769 1203081 1859307 3609243 5577921 6817459 20452377 61357131