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131958971 = 19311571427
BaseRepresentation
bin1111101110110…
…00100010111011
3100012022012200022
413313120202323
5232240141341
621032201055
73161430014
oct767304273
9305265608
10131958971
116853a801
123823918b
1321453341
141375000b
15b8b8e4b
hex7dd88bb

131958971 has 16 divisors (see below), whose sum is σ = 144399360. Its totient is φ = 120126240.

The previous prime is 131958949. The next prime is 131958973. The reversal of 131958971 is 179859131.

It is not a de Polignac number, because 131958971 - 26 = 131958907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131958973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91760 + ... + 93186.

It is an arithmetic number, because the mean of its divisors is an integer number (9024960).

Almost surely, 2131958971 is an apocalyptic number.

131958971 is a deficient number, since it is larger than the sum of its proper divisors (12440389).

131958971 is a wasteful number, since it uses less digits than its factorization.

131958971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634.

The product of its digits is 68040, while the sum is 44.

The square root of 131958971 is about 11487.3395962686. The cubic root of 131958971 is about 509.1115777023. Note that the first 3 decimals are identical.

The spelling of 131958971 in words is "one hundred thirty-one million, nine hundred fifty-eight thousand, nine hundred seventy-one".

Divisors: 1 19 31 157 589 1427 2983 4867 27113 44237 92473 224039 840503 4256741 6945209 131958971