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31002002131130 = 25371812292021501
BaseRepresentation
bin1110000110010001101110…
…10100110000100010111010
311001202202120211110222112222
413003020313110300202322
513030414100021144010
6145534042334204042
76346551341104232
oct703106724604272
9131682524428488
1031002002131130
119972969a89778
12358848b953622
13143b62644a164
1479270d684cc2
1538b6771c4355
hex1c32375308ba

31002002131130 has 64 divisors (see below), whose sum is σ = 57880130424480. Its totient is φ = 11946579840000.

The previous prime is 31002002131103. The next prime is 31002002131189. The reversal of 31002002131130 is 3113120020013.

It can be written as a sum of positive squares in 16 ways, for example, as 11359050161761 + 19642951969369 = 3370319^2 + 4432037^2 .

It is a super-2 number, since 2×310020021311302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31002002131099 and 31002002131108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14325380 + ... + 16346880.

Almost surely, 231002002131130 is an apocalyptic number.

31002002131130 is a deficient number, since it is larger than the sum of its proper divisors (26878128293350).

31002002131130 is a wasteful number, since it uses less digits than its factorization.

31002002131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021955.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31002002131130 its reverse (3113120020013), we get a palindrome (34115122151143).

The spelling of 31002002131130 in words is "thirty-one trillion, two billion, two million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 37 74 181 185 229 362 370 458 905 1145 1810 2290 6697 8473 13394 16946 33485 41449 42365 66970 82898 84730 207245 414490 1533613 2021501 3067226 4043002 7668065 10107505 15336130 20215010 74795537 149591074 365891681 373977685 462923729 731783362 747955370 925847458 1829458405 2314618645 3658916810 4629237290 13537992197 17128177973 27075984394 34256355946 67689960985 83789194949 85640889865 135379921970 167578389898 171281779730 418945974745 837891949490 3100200213113 6200400426226 15501001065565 31002002131130