Search a number
-
+
131057029 = 1752114797
BaseRepresentation
bin1111100111111…
…00010110000101
3100010121101110001
413303330112011
5232022311104
621001001301
73150652315
oct763742605
9303541401
10131057029
1167a840a4
1237a83231
13211c894c
1413597445
15b78baa4
hex7cfc585

131057029 has 8 divisors (see below), whose sum is σ = 139042008. Its totient is φ = 123102720.

The previous prime is 131057023. The next prime is 131057081. The reversal of 131057029 is 920750131.

It can be written as a sum of positive squares in 4 ways, for example, as 16524225 + 114532804 = 4065^2 + 10702^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131057029 - 23 = 131057021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131056988 and 131057006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131057021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459 + ... + 16255.

It is an arithmetic number, because the mean of its divisors is an integer number (17380251).

Almost surely, 2131057029 is an apocalyptic number.

It is an amenable number.

131057029 is a deficient number, since it is larger than the sum of its proper divisors (7984979).

131057029 is a wasteful number, since it uses less digits than its factorization.

131057029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 131057029 is about 11448.0141946103. The cubic root of 131057029 is about 507.9489959023.

The spelling of 131057029 in words is "one hundred thirty-one million, fifty-seven thousand, twenty-nine".

Divisors: 1 17 521 8857 14797 251549 7709237 131057029