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100221022112 = 252325920429
BaseRepresentation
bin101110101010110100…
…0110110111110100000
3100120200120112102120212
41131111220312332200
53120223040201422
6114012500153252
710145366426561
oct1352550667640
9316616472525
10100221022112
113955a177302
121750b998828
1395b2547463
144bca556168
1529188479e2
hex1755a36fa0

100221022112 has 36 divisors (see below), whose sum is σ = 206261860770. Its totient is φ = 47931785088.

The previous prime is 100221022091. The next prime is 100221022123. The reversal of 100221022112 is 211220122001.

100221022112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 99984969616 + 236052496 = 316204^2 + 15364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2943287 + ... + 2977142.

Almost surely, 2100221022112 is an apocalyptic number.

It is an amenable number.

100221022112 is an abundant number, since it is smaller than the sum of its proper divisors (106040838658).

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

100221022112 is an equidigital number, since it uses as much as digits as its factorization.

100221022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920485 (or 5920454 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221022112 its reverse (211220122001), we get a palindrome (311441144113).

The spelling of 100221022112 in words is "one hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 16928 5920429 11840858 23681716 47363432 94726864 136169867 189453728 272339734 544679468 1089358936 2178717872 3131906941 4357435744 6263813882 12527627764 25055255528 50110511056 100221022112