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202012101211122 = 2348886114033021
BaseRepresentation
bin101101111011101010011011…
…100010000111001111110010
3222111021011112200001010110000
4231323222123202013033302
5202434231240402223442
61553351024513250430
760356615121364506
oct5573523342071762
9874234480033400
10202012101211122
115940493a764164
121a7a736bb63a16
1388948759338b7
1437c561b71a306
151854be9630d4c
hexb7ba9b8873f2

202012101211122 has 40 divisors (see below), whose sum is σ = 452661871549932. Its totient is φ = 67336604488800.

The previous prime is 202012101211121. The next prime is 202012101211139. The reversal of 202012101211122 is 221112101210202.

202012101211122 is a `hidden beast` number, since 20 + 201 + 210 + 1 + 211 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157205932636041 + 44806168575081 = 12538179^2 + 6693741^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202012101211095 and 202012101211104.

It is not an unprimeable number, because it can be changed into a prime (202012101211121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7378972 + ... + 21411992.

Almost surely, 2202012101211122 is an apocalyptic number.

202012101211122 is an abundant number, since it is smaller than the sum of its proper divisors (250649770338810).

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

202012101211122 is a wasteful number, since it uses less digits than its factorization.

202012101211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121896 (or 14121887 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202012101211122 its reverse (221112101210202), we get a palindrome (423124202421324).

The spelling of 202012101211122 in words is "two hundred two trillion, twelve billion, one hundred one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 88861 177722 266583 533166 799749 1599498 2399247 4798494 7197741 14033021 14395482 28066042 42099063 84198126 126297189 252594378 378891567 757783134 1136674701 2273349402 1246988279081 2493976558162 3740964837243 7481929674486 11222894511729 22445789023458 33668683535187 67337367070374 101006050605561 202012101211122