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131377044565 = 51317241493333
BaseRepresentation
bin111101001011010101…
…1101001110001010101
3110120002220002100122101
41322112223221301111
54123030010411230
6140204230002101
712330434311354
oct1722653516125
9416086070571
10131377044565
1150797a0a098
1221565aa6331
13c5092768c0
14650432399b
15363dbc1aca
hex1e96ae9c55

131377044565 has 32 divisors (see below), whose sum is σ = 180512883936. Its totient is φ = 90930954240.

The previous prime is 131377044563. The next prime is 131377044577. The reversal of 131377044565 is 565440773131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 48358116 + 131328686449 = 6954^2 + 362393^2 .

It is not a de Polignac number, because 131377044565 - 21 = 131377044563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131377044563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19639 + ... + 512971.

It is an arithmetic number, because the mean of its divisors is an integer number (5641027623).

Almost surely, 2131377044565 is an apocalyptic number.

It is an amenable number.

131377044565 is a deficient number, since it is larger than the sum of its proper divisors (49135839371).

131377044565 is a wasteful number, since it uses less digits than its factorization.

131377044565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493609.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 131377044565 in words is "one hundred thirty-one billion, three hundred seventy-seven million, forty-four thousand, five hundred sixty-five".

Divisors: 1 5 13 17 65 85 221 241 1105 1205 3133 4097 15665 20485 53261 266305 493333 2466665 6413329 8386661 32066645 41933305 109026593 118893253 545132965 594466265 1545612289 2021185301 7728061445 10105926505 26275408913 131377044565