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131000313510205 = 579748616762673
BaseRepresentation
bin11101110010010011100011…
…001001101111100100111101
3122011211111201002100200101221
4131302103203021233210331
5114132302120224311310
61142340414020033341
736410313614226436
oct3562234311574475
9564744632320357
10131000313510205
1138816a14894a67
12128388a3b32851
13581337979c009
14244c6400d448d
1510229435dbada
hex7724e326f93d

131000313510205 has 16 divisors (see below), whose sum is σ = 157430019290544. Its totient is φ = 104647209569280.

The previous prime is 131000313510173. The next prime is 131000313510221. The reversal of 131000313510205 is 502015313000131.

It can be written as a sum of positive squares in 8 ways, for example, as 13991504832484 + 117008808677721 = 3740522^2 + 10817061^2 .

It is not a de Polignac number, because 131000313510205 - 25 = 131000313510173 is a prime.

It is a super-2 number, since 2×1310003135102052 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131000313510205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15989749 + ... + 22752421.

It is an arithmetic number, because the mean of its divisors is an integer number (9839376205659).

Almost surely, 2131000313510205 is an apocalyptic number.

It is an amenable number.

131000313510205 is a deficient number, since it is larger than the sum of its proper divisors (26429705780339).

131000313510205 is an equidigital number, since it uses as much as digits as its factorization.

131000313510205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768336.

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 131000313510205 its reverse (502015313000131), we get a palindrome (633015626510336).

The spelling of 131000313510205 in words is "one hundred thirty-one trillion, three hundred thirteen million, five hundred ten thousand, two hundred five".

Divisors: 1 5 797 3985 4861 24305 3874217 6762673 19371085 33813365 5389850381 26949251905 32873353453 164366767265 26200062702041 131000313510205