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131231003301 = 32313712712487
BaseRepresentation
bin111101000110111111…
…0100011001010100101
3110112201201021200200200
41322031332203022211
54122230114101201
6140141531501113
712324012060156
oct1721576431245
9415651250620
10131231003301
1150722531132
1221524bb7799
13c4b4c32858
1464ccb8992d
153630e75386
hex1e8dfa32a5

131231003301 has 24 divisors (see below), whose sum is σ = 200959010304. Its totient is φ = 82376909280.

The previous prime is 131231003279. The next prime is 131231003317. The reversal of 131231003301 is 103300132131.

It is a happy number.

131231003301 is a `hidden beast` number, since 13 + 12 + 310 + 0 + 330 + 1 = 666.

It is not a de Polignac number, because 131231003301 - 29 = 131231002789 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231003341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6345921 + ... + 6366566.

It is an arithmetic number, because the mean of its divisors is an integer number (8373292096).

Almost surely, 2131231003301 is an apocalyptic number.

It is an amenable number.

131231003301 is a deficient number, since it is larger than the sum of its proper divisors (69728007003).

131231003301 is a wasteful number, since it uses less digits than its factorization.

131231003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712561 (or 12712558 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131231003301 its reverse (103300132131), we get a palindrome (234531135432).

The spelling of 131231003301 in words is "one hundred thirty-one billion, two hundred thirty-one million, three thousand, three hundred one".

Divisors: 1 3 9 31 37 93 111 279 333 1147 3441 10323 12712487 38137461 114412383 394087097 470362019 1182261291 1411086057 3546783873 4233258171 14581222589 43743667767 131231003301