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3133102986 = 23213294111261
BaseRepresentation
bin1011101010111111…
…0101101110001010
322002100111010022100
42322233311232022
522404033243421
61234521134230
7140432636016
oct27257655612
98070433270
103133102986
111368611712
1273532a376
133ac1484c0
1421a173546
151350d6c26
hexbabf5b8a

3133102986 has 96 divisors (see below), whose sum is σ = 7747805520. Its totient is φ = 908006400.

The previous prime is 3133102979. The next prime is 3133102997. The reversal of 3133102986 is 6892013313.

3133102986 is a `hidden beast` number, since 31 + 331 + 0 + 298 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1195430625 + 1937672361 = 34575^2 + 44019^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3133102986.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272596 + ... + 283856.

Almost surely, 23133102986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133102986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873902760).

3133102986 is an abundant number, since it is smaller than the sum of its proper divisors (4614702534).

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

3133102986 is a wasteful number, since it uses less digits than its factorization.

3133102986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3133102986 is about 55974.1278270595. The cubic root of 3133102986 is about 1463.2714198109.

The spelling of 3133102986 in words is "three billion, one hundred thirty-three million, one hundred two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 41 58 78 82 87 117 123 174 234 246 261 369 377 522 533 738 754 1066 1131 1189 1599 2262 2378 3198 3393 3567 4797 6786 7134 9594 10701 11261 15457 21402 22522 30914 33783 46371 67566 92742 101349 139113 146393 202698 278226 292786 326569 439179 461701 653138 878358 923402 979707 1317537 1385103 1959414 2635074 2770206 2939121 4155309 4245397 5878242 6002113 8310618 8490794 12004226 12736191 13389329 18006339 25472382 26778658 36012678 38208573 40167987 54019017 76417146 80335974 108038034 120503961 174061277 241007922 348122554 522183831 1044367662 1566551493 3133102986