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201012212122112 = 291133474353777
BaseRepresentation
bin101101101101000111001101…
…011111111100001000000000
3222100201120122200022120020102
4231231013031133330020000
5202321341002300401422
61551303422504101532
760224440001353226
oct5555071537741000
9870646580276212
10201012212122112
1159059889402346
121a66561b1648a8
1388214a762bc81
14378d085d04b16
151838bc79c7192
hexb6d1cd7fc200

201012212122112 has 40 divisors (see below), whose sum is σ = 405186086297916. Its totient is φ = 99616671465472.

The previous prime is 201012212122069. The next prime is 201012212122187. The reversal of 201012212122112 is 211221212210102.

201012212122112 is digitally balanced in base 2, 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 2 ways, for example, as 170993910743296 + 30018301378816 = 13076464^2 + 5478896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1737119033 + ... + 1737234744.

Almost surely, 2201012212122112 is an apocalyptic number.

It is an amenable number.

201012212122112 is an abundant number, since it is smaller than the sum of its proper divisors (204173874175804).

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

201012212122112 is an equidigital number, since it uses as much as digits as its factorization.

201012212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474353908 (or 3474353892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 201012212122112 its reverse (211221212210102), we get a palindrome (412233424332214).

The spelling of 201012212122112 in words is "two hundred one trillion, twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 3616 7232 14464 28928 57856 3474353777 6948707554 13897415108 27794830216 55589660432 111179320864 222358641728 392601976801 444717283456 785203953602 889434566912 1570407907204 1778869133824 3140815814408 6281631628816 12563263257632 25126526515264 50253053030528 100506106061056 201012212122112