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131791972 = 221317914159
BaseRepresentation
bin1111101101011…
…11110001100100
3100011222201121011
413312233301210
5232214320342
621024432004
73160133104
oct766576144
9304881534
10131791972
1168436294
1238178604
13213c5320
1413709204
15b884717
hex7dafc64

131791972 has 24 divisors (see below), whose sum is σ = 249782400. Its totient is φ = 60482976.

The previous prime is 131791967. The next prime is 131792021. The reversal of 131791972 is 279197131.

It is a super-3 number, since 3×1317919723 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2229 + ... + 16387.

It is an arithmetic number, because the mean of its divisors is an integer number (10407600).

Almost surely, 2131791972 is an apocalyptic number.

It is an amenable number.

131791972 is a deficient number, since it is larger than the sum of its proper divisors (117990428).

131791972 is a wasteful number, since it uses less digits than its factorization.

131791972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14353 counting only the distinct ones).

The product of its digits is 23814, while the sum is 40.

The square root of 131791972 is about 11480.0684666948. The cubic root of 131791972 is about 508.8967204762.

It can be divided in two parts, 13179 and 1972, that added together give a palindrome (15151).

The spelling of 131791972 in words is "one hundred thirty-one million, seven hundred ninety-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 13 26 52 179 358 716 2327 4654 9308 14159 28318 56636 184067 368134 736268 2534461 5068922 10137844 32947993 65895986 131791972