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131031031002330 = 23583414111270747
BaseRepresentation
bin11101110010110000001010…
…000011101011010011011010
3122011221102222211201221221110
4131302300022003223103122
5114133303022414033310
61142402454042321150
736412452045502164
oct3562601203532332
9564842884657843
10131031031002330
1138828a48035498
12128428371b91b6
1358162336b9264
14244dd1594b934
1510236401e0d20
hex772c0a0eb4da

131031031002330 has 64 divisors (see below), whose sum is σ = 318271259432448. Its totient is φ = 34519764260160.

The previous prime is 131031031002329. The next prime is 131031031002353. The reversal of 131031031002330 is 33200130130131.

It is a junction number, because it is equal to n+sod(n) for n = 131031031002297 and 131031031002306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102478017 + ... + 103748763.

It is an arithmetic number, because the mean of its divisors is an integer number (4972988428632).

Almost surely, 2131031031002330 is an apocalyptic number.

131031031002330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131031031002330 is an abundant number, since it is smaller than the sum of its proper divisors (187240228430118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131031031002330 is a wasteful number, since it uses less digits than its factorization.

131031031002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312251.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131031031002330 its reverse (33200130130131), we get a palindrome (164231161132461).

The spelling of 131031031002330 in words is "one hundred thirty-one trillion, thirty-one billion, thirty-one million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 2490 41411 82822 124233 207055 248466 414110 621165 1242330 1270747 2541494 3437113 3812241 6353735 6874226 7624482 10311339 12707470 17185565 19061205 20622678 34371130 38122410 51556695 103113390 105472001 210944002 316416003 527360005 632832006 1054720010 1582080015 3164160030 52622904017 105245808034 157868712051 263114520085 315737424102 526229040170 789343560255 1578687120510 4367701033411 8735402066822 13103103100233 21838505167055 26206206200466 43677010334110 65515515501165 131031031002330