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131366433011 = 11107463241061
BaseRepresentation
bin111101001011000001…
…1001011000011110011
3110120002011010020022212
41322112003023003303
54123014301324021
6140203210322335
712330245154032
oct1722603130363
9416064106285
10131366433011
1150791a21510
12215624293ab
13c506ccc888
146502b60719
15363ccc785b
hex1e960cb0f3

131366433011 has 16 divisors (see below), whose sum is σ = 144961187328. Its totient is φ = 118051903200.

The previous prime is 131366433007. The next prime is 131366433013. The reversal of 131366433011 is 110334663131.

It is not a de Polignac number, because 131366433011 - 22 = 131366433007 is a prime.

It is a super-2 number, since 2×1313664330112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131366433013) 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, 424421 + ... + 665481.

It is an arithmetic number, because the mean of its divisors is an integer number (9060074208).

Almost surely, 2131366433011 is an apocalyptic number.

131366433011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131366433011 is a deficient number, since it is larger than the sum of its proper divisors (13594754317).

131366433011 is a wasteful number, since it uses less digits than its factorization.

131366433011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241642.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 131366433011 in words is "one hundred thirty-one billion, three hundred sixty-six million, four hundred thirty-three thousand, eleven".

Divisors: 1 11 107 463 1177 5093 49541 241061 544951 2651671 25793527 111611243 283728797 1227723673 11942403001 131366433011