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202210221020112 = 24321782602214469
BaseRepresentation
bin101101111110100010111100…
…011001001101001111010000
3222111222002220222102012202100
4231332202330121031033100
5203001003013040120422
61554022032040320400
760410130532104204
oct5576427431151720
9874862828365670
10202210221020112
1159480967179a98
121a819841a73100
1388aa45a5666c6
1437d1053c0cb04
151859e429ab7ac
hexb7e8bc64d3d0

202210221020112 has 60 divisors (see below), whose sum is σ = 599196463765380. Its totient is φ = 63438500711424.

The previous prime is 202210221020051. The next prime is 202210221020131. The reversal of 202210221020112 is 211020122012202.

It is a happy number.

202210221020112 is a `hidden beast` number, since 20 + 2 + 210 + 221 + 0 + 201 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64587196731456 + 137623024288656 = 8036616^2 + 11731284^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41301104787 + ... + 41301109682.

It is an arithmetic number, because the mean of its divisors is an integer number (9986607729423).

Almost surely, 2202210221020112 is an apocalyptic number.

It is an amenable number.

202210221020112 is an abundant number, since it is smaller than the sum of its proper divisors (396986242745268).

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

202210221020112 is a wasteful number, since it uses less digits than its factorization.

202210221020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82602214500 (or 82602214491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202210221020112 its reverse (211020122012202), we get a palindrome (413230343032314).

The spelling of 202210221020112 in words is "two hundred two trillion, two hundred ten billion, two hundred twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 82602214469 165204428938 247806643407 330408857876 495613286814 660817715752 743419930221 991226573628 1321635431504 1404237645973 1486839860442 1982453147256 2808475291946 2973679720884 3964906294512 4212712937919 5616950583892 5947359441768 8425425875838 11233901167784 11894718883536 12638138813757 16850851751676 22467802335568 25276277627514 33701703503352 50552555255028 67403407006704 101105110510056 202210221020112