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132431035101313 = 1347921267229019
BaseRepresentation
bin11110000111001000000000…
…110011011111000010000001
3122100220021122112110000011111
4132013020000303133002001
5114324222224441220223
61145353551101043321
736615553335133504
oct3607100063370201
9570807575400144
10132431035101313
1139218760932373
1212a2a031856541
1358b82680c9a60
14249b9a690313b
151049c7d8b030d
hex787200cdf081

132431035101313 has 8 divisors (see below), whose sum is σ = 142915779014400. Its totient is φ = 121988825647248.

The previous prime is 132431035101283. The next prime is 132431035101319. The reversal of 132431035101313 is 313101530134231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132431035101313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132431035101319) 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 7 ways as a sum of consecutive naturals, for example, 10633608283 + ... + 10633620736.

It is an arithmetic number, because the mean of its divisors is an integer number (17864472376800).

Almost surely, 2132431035101313 is an apocalyptic number.

132431035101313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132431035101313 is a deficient number, since it is larger than the sum of its proper divisors (10484743913087).

132431035101313 is a wasteful number, since it uses less digits than its factorization.

132431035101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21267229511.

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 132431035101313 its reverse (313101530134231), we get a palindrome (445532565235544).

The spelling of 132431035101313 in words is "one hundred thirty-two trillion, four hundred thirty-one billion, thirty-five million, one hundred one thousand, three hundred thirteen".

Divisors: 1 13 479 6227 21267229019 276473977247 10187002700101 132431035101313