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131496399 = 3318612617
BaseRepresentation
bin1111101011001…
…11100111001111
3100011102201011000
413311213213033
5232130341044
621014231343
73154462266
oct765474717
9304381130
10131496399
1168254211
1238055553
1321320928
141366d5dd
15b826d69
hex7d679cf

131496399 has 16 divisors (see below), whose sum is σ = 194988640. Its totient is φ = 87583680.

The previous prime is 131496373. The next prime is 131496437. The reversal of 131496399 is 993694131.

131496399 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 9 + 639 + 9 = 666.

It is not a de Polignac number, because 131496399 - 29 = 131495887 is a prime.

It is a super-5 number, since 5×1314963995 (a number of 42 digits) contains 55555 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 (131396399) 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, 48939 + ... + 51555.

It is an arithmetic number, because the mean of its divisors is an integer number (12186790).

Almost surely, 2131496399 is an apocalyptic number.

131496399 is a deficient number, since it is larger than the sum of its proper divisors (63492241).

131496399 is a wasteful number, since it uses less digits than its factorization.

131496399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4481 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 131496399 is about 11467.1879290435. The cubic root of 131496399 is about 508.5159974431.

The spelling of 131496399 in words is "one hundred thirty-one million, four hundred ninety-six thousand, three hundred ninety-nine".

Divisors: 1 3 9 27 1861 2617 5583 7851 16749 23553 50247 70659 4870237 14610711 43832133 131496399