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131078431 = 1135333757
BaseRepresentation
bin1111101000000…
…01100100011111
3100010122110210201
413310001210133
5232024002211
621001244331
73151101601
oct764014437
9303573721
10131078431
1167a99190
1237a936a7
1321205603
14135a1171
15b7930c1
hex7d0191f

131078431 has 8 divisors (see below), whose sum is σ = 143403984. Its totient is φ = 118821120.

The previous prime is 131078417. The next prime is 131078513. The reversal of 131078431 is 134870131.

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

It is not a de Polignac number, because 131078431 - 213 = 131070239 is a prime.

It is a super-2 number, since 2×1310784312 = 34363110146843522, 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 131078431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131078401) 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, 12996 + ... + 20761.

It is an arithmetic number, because the mean of its divisors is an integer number (17925498).

Almost surely, 2131078431 is an apocalyptic number.

131078431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131078431 is a deficient number, since it is larger than the sum of its proper divisors (12325553).

131078431 is a wasteful number, since it uses less digits than its factorization.

131078431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34121.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 131078431 is about 11448.9489037204. The cubic root of 131078431 is about 507.9766442545.

The spelling of 131078431 in words is "one hundred thirty-one million, seventy-eight thousand, four hundred thirty-one".

Divisors: 1 11 353 3883 33757 371327 11916221 131078431