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131233756753 = 11232917886569
BaseRepresentation
bin111101000111000100…
…1000011011001010001
3110112201220110120201101
41322032021003121101
54122231320204003
6140142110504401
712324044345551
oct1721611033121
9415656416641
10131233756753
1150724041910
1221525b05101
13c4b5687c08
1464cd2a5161
15363131b11d
hex1e8e243651

131233756753 has 16 divisors (see below), whose sum is σ = 154539964800. Its totient is φ = 110181258880.

The previous prime is 131233756747. The next prime is 131233756763. The reversal of 131233756753 is 357657332131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-131233756753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131233756763) 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 15 ways as a sum of consecutive naturals, for example, 8935948 + ... + 8950621.

It is an arithmetic number, because the mean of its divisors is an integer number (9658747800).

Almost surely, 2131233756753 is an apocalyptic number.

It is an amenable number.

131233756753 is a deficient number, since it is larger than the sum of its proper divisors (23306208047).

131233756753 is a wasteful number, since it uses less digits than its factorization.

131233756753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17886632.

The product of its digits is 1190700, while the sum is 46.

The spelling of 131233756753 in words is "one hundred thirty-one billion, two hundred thirty-three million, seven hundred fifty-six thousand, seven hundred fifty-three".

Divisors: 1 11 23 29 253 319 667 7337 17886569 196752259 411391087 518710501 4525301957 5705815511 11930341523 131233756753