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131743071 = 3316272999
BaseRepresentation
bin1111101101000…
…11110101011111
3100011220020112000
413312203311133
5232211234241
621023413343
73156540405
oct766436537
9304806460
10131743071
1168402579
1238154253
13213a8ca5
14136d5475
15b874eb6
hex7da3d5f

131743071 has 16 divisors (see below), whose sum is σ = 195360000. Its totient is φ = 87745464.

The previous prime is 131743067. The next prime is 131743141. The reversal of 131743071 is 170347131.

It is not a de Polignac number, because 131743071 - 22 = 131743067 is a prime.

It is a super-2 number, since 2×1317430712 = 34712473513022082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131743571) 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, 42430 + ... + 45428.

It is an arithmetic number, because the mean of its divisors is an integer number (12210000).

Almost surely, 2131743071 is an apocalyptic number.

131743071 is a deficient number, since it is larger than the sum of its proper divisors (63616929).

131743071 is a wasteful number, since it uses less digits than its factorization.

131743071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 131743071 is about 11477.9384472997. The cubic root of 131743071 is about 508.8337711764.

The spelling of 131743071 in words is "one hundred thirty-one million, seven hundred forty-three thousand, seventy-one".

Divisors: 1 3 9 27 1627 2999 4881 8997 14643 26991 43929 80973 4879373 14638119 43914357 131743071