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131878831 = 71011031811
BaseRepresentation
bin1111101110001…
…00111110101111
3100012011010202011
413313010332233
5232230110311
621030342051
73160644250
oct767047657
9305133664
10131878831
1168495577
12381ba927
1321425a16
141372cb27
15b8a0321
hex7dc4faf

131878831 has 16 divisors (see below), whose sum is σ = 153773568. Its totient is φ = 110772000.

The previous prime is 131878823. The next prime is 131878853. The reversal of 131878831 is 138878131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131878831 - 23 = 131878823 is a prime.

It is a super-2 number, since 2×1318788312 = 34784052131853122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131878801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71916 + ... + 73726.

It is an arithmetic number, because the mean of its divisors is an integer number (9610848).

Almost surely, 2131878831 is an apocalyptic number.

131878831 is a deficient number, since it is larger than the sum of its proper divisors (21894737).

131878831 is a wasteful number, since it uses less digits than its factorization.

131878831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022.

The product of its digits is 32256, while the sum is 40.

The square root of 131878831 is about 11483.8508785163. The cubic root of 131878831 is about 509.0084939843.

The spelling of 131878831 in words is "one hundred thirty-one million, eight hundred seventy-eight thousand, eight hundred thirty-one".

Divisors: 1 7 101 103 707 721 1811 10403 12677 72821 182911 186533 1280377 1305731 18839833 131878831