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131203312031 = 11291111736997
BaseRepresentation
bin111101000110001010…
…0111010100110011111
3110112122210011211102002
41322030110322212133
54122201021441111
6140135102152515
712323224515461
oct1721424724637
9415583154362
10131203312031
1150708938290
122151788273b
13c4ac28869c
1464c921c131
15362d80563b
hex1e8c53a99f

131203312031 has 16 divisors (see below), whose sum is σ = 148083755040. Its totient is φ = 115149310080.

The previous prime is 131203312007. The next prime is 131203312039. The reversal of 131203312031 is 130213302131.

It is a cyclic number.

It is not a de Polignac number, because 131203312031 - 222 = 131199117727 is a prime.

It is a super-2 number, since 2×1312033120312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131203311994 and 131203312012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131203312039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3527825 + ... + 3564821.

It is an arithmetic number, because the mean of its divisors is an integer number (9255234690).

Almost surely, 2131203312031 is an apocalyptic number.

131203312031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131203312031 is a deficient number, since it is larger than the sum of its proper divisors (16880443009).

131203312031 is a wasteful number, since it uses less digits than its factorization.

131203312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48154.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131203312031 its reverse (130213302131), we get a palindrome (261416614162).

The spelling of 131203312031 in words is "one hundred thirty-one billion, two hundred three million, three hundred twelve thousand, thirty-one".

Divisors: 1 11 29 319 11117 36997 122287 322393 406967 1072913 3546323 11802043 411295649 4524252139 11927573821 131203312031