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131813960229 = 337299632623
BaseRepresentation
bin111101011000010111…
…0010110101000100101
3110121020100012222021000
41322300232112220211
54124423333211404
6140315434343513
712344321114100
oct1726056265045
9417210188230
10131813960229
11509a15a9316
122166828ab99
13c578941b93
146546377737
153667228339
hex1eb0b96a25

131813960229 has 24 divisors (see below), whose sum is σ = 227162382720. Its totient is φ = 75322262232.

The previous prime is 131813960149. The next prime is 131813960287. The reversal of 131813960229 is 922069318131.

It is a happy number.

131813960229 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 1 + 39 + 602 + 2 + 9 = 666.

It is not a de Polignac number, because 131813960229 - 211 = 131813958181 is a prime.

It is a super-2 number, since 2×1318139602292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131813960029) 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 23 ways as a sum of consecutive naturals, for example, 49814989 + ... + 49817634.

It is an arithmetic number, because the mean of its divisors is an integer number (9465099280).

Almost surely, 2131813960229 is an apocalyptic number.

It is an amenable number.

131813960229 is a deficient number, since it is larger than the sum of its proper divisors (95348422491).

131813960229 is an equidigital number, since it uses as much as digits as its factorization.

131813960229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99632646 (or 99632633 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 131813960229 in words is "one hundred thirty-one billion, eight hundred thirteen million, nine hundred sixty thousand, two hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 99632623 298897869 697428361 896693607 2092285083 2690080821 4881998527 6276855249 14645995581 18830565747 43937986743 131813960229