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131073753 = 31311971693
BaseRepresentation
bin1111101000000…
…00011011011001
3100010122020101110
413310000123121
5232023330003
621001210533
73151052136
oct764003331
9303566343
10131073753
1167a95718
1237a90a49
1321203445
141359d58d
15b791a03
hex7d006d9

131073753 has 16 divisors (see below), whose sum is σ = 177097536. Its totient is φ = 86224320.

The previous prime is 131073727. The next prime is 131073773. The reversal of 131073753 is 357370131.

It is not a de Polignac number, because 131073753 - 28 = 131073497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131073753.

It is not an unprimeable number, because it can be changed into a prime (131073713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76575 + ... + 78267.

It is an arithmetic number, because the mean of its divisors is an integer number (11068596).

Almost surely, 2131073753 is an apocalyptic number.

It is an amenable number.

131073753 is a deficient number, since it is larger than the sum of its proper divisors (46023783).

131073753 is a wasteful number, since it uses less digits than its factorization.

131073753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 6615, while the sum is 30.

The square root of 131073753 is about 11448.7446036673. The cubic root of 131073753 is about 507.9706011982.

The spelling of 131073753 in words is "one hundred thirty-one million, seventy-three thousand, seven hundred fifty-three".

Divisors: 1 3 131 197 393 591 1693 5079 25807 77421 221783 333521 665349 1000563 43691251 131073753