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131310431331 = 3283154664819
BaseRepresentation
bin111101001001010110…
…1100010110001100011
3110112221020202001110120
41322102231202301203
54122410432300311
6140153450131323
712325665151602
oct1722255426143
9415836661416
10131310431331
1150763351632
1221547720b43
13c4c85227a1
1464d9543a39
153637e14706
hex1e92b62c63

131310431331 has 8 divisors (see below), whose sum is σ = 175699235520. Its totient is φ = 87230957352.

The previous prime is 131310431269. The next prime is 131310431333. The reversal of 131310431331 is 133134013131.

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

It is not a de Polignac number, because 131310431331 - 26 = 131310431267 is a prime.

It is a super-2 number, since 2×1313104313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131310431333) 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, 77331561 + ... + 77333258.

It is an arithmetic number, because the mean of its divisors is an integer number (21962404440).

Almost surely, 2131310431331 is an apocalyptic number.

131310431331 is a deficient number, since it is larger than the sum of its proper divisors (44388804189).

131310431331 is a wasteful number, since it uses less digits than its factorization.

131310431331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154665105.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131310431331 its reverse (133134013131), we get a palindrome (264444444462).

The spelling of 131310431331 in words is "one hundred thirty-one billion, three hundred ten million, four hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 283 849 154664819 463994457 43770143777 131310431331