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131431040099 = 29110914592801
BaseRepresentation
bin111101001100111100…
…1101000010001100011
3110120020122200121120222
41322121321220101203
54123132321240344
6140213435153255
712331661256632
oct1723171502143
9416218617528
10131431040099
11508154397a7
122157bba582b
13c517500818
14650b57b519
1536437da5ee
hex1e99e68463

131431040099 has 16 divisors (see below), whose sum is σ = 136227636000. Its totient is φ = 126652377600.

The previous prime is 131431040087. The next prime is 131431040107. The reversal of 131431040099 is 990040134131.

It is a cyclic number.

It is not a de Polignac number, because 131431040099 - 28 = 131431039843 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131431040599) 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, 46921499 + ... + 46924299.

It is an arithmetic number, because the mean of its divisors is an integer number (8514227250).

Almost surely, 2131431040099 is an apocalyptic number.

131431040099 is a deficient number, since it is larger than the sum of its proper divisors (4796595901).

131431040099 is a wasteful number, since it uses less digits than its factorization.

131431040099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 131431040099 in words is "one hundred thirty-one billion, four hundred thirty-one million, forty thousand, ninety-nine".

Divisors: 1 29 1109 1459 2801 32161 42311 81229 1618031 3106309 4086659 46922899 90082961 118513111 4532104831 131431040099