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131103729 = 3283293599
BaseRepresentation
bin1111101000001…
…11101111110001
3100010200202111200
413310013233301
5232030304404
621002001413
73151235421
oct764075761
9303622450
10131103729
1168006199
1237aa6269
1321213c93
14135aa481
15b79a839
hex7d07bf1

131103729 has 24 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 85911072.

The previous prime is 131103719. The next prime is 131103761. The reversal of 131103729 is 927301131.

It is not a de Polignac number, because 131103729 - 27 = 131103601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131103719) 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 23 ways as a sum of consecutive naturals, for example, 218572 + ... + 219170.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2131103729 is an apocalyptic number.

It is an amenable number.

131103729 is a deficient number, since it is larger than the sum of its proper divisors (61525071).

131103729 is a wasteful number, since it uses less digits than its factorization.

131103729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 131103729 is about 11450.0536679965. The cubic root of 131103729 is about 508.0093218059.

The spelling of 131103729 in words is "one hundred thirty-one million, one hundred three thousand, seven hundred twenty-nine".

Divisors: 1 3 9 83 249 293 599 747 879 1797 2637 5391 24319 49717 72957 149151 175507 218871 447453 526521 1579563 14567081 43701243 131103729