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131032432323 = 33131013368521
BaseRepresentation
bin111101000001000100…
…1000011111011000011
3110112012212122020112000
41322002021003323003
54121323300313243
6140110115435043
712316051204062
oct1720211037303
9415185566460
10131032432323
1150630434891
122148a5b5a83
13c482a58b30
1464b065a1d9
15361d7ee5d3
hex1e82243ec3

131032432323 has 32 divisors (see below), whose sum is σ = 209261532480. Its totient is φ = 80555523840.

The previous prime is 131032432319. The next prime is 131032432351. The reversal of 131032432323 is 323234230131.

131032432323 is a `hidden beast` number, since 1 + 3 + 10 + 324 + 3 + 2 + 323 = 666.

It is not a de Polignac number, because 131032432323 - 22 = 131032432319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131032432393) 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 31 ways as a sum of consecutive naturals, for example, 171303 + ... + 539823.

It is an arithmetic number, because the mean of its divisors is an integer number (6539422890).

Almost surely, 2131032432323 is an apocalyptic number.

131032432323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131032432323 is a deficient number, since it is larger than the sum of its proper divisors (78229100157).

131032432323 is a wasteful number, since it uses less digits than its factorization.

131032432323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369556 (or 369550 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 131032432323 its reverse (323234230131), we get a palindrome (454266662454).

The spelling of 131032432323 in words is "one hundred thirty-one billion, thirty-two million, four hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 351 1013 3039 9117 13169 27351 39507 118521 355563 368521 1105563 3316689 4790773 9950067 14372319 43116957 129350871 373311773 1119935319 3359805957 4853053049 10079417871 14559159147 43677477441 131032432323