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201012002221122 = 23279359393756689
BaseRepresentation
bin101101101101000111000000…
…111111001110110001000010
3222100201120010001100111012200
4231231013000333032301002
5202321340040032033442
61551303350005134030
760224431542261051
oct5555070077166102
9870646101314180
10201012002221122
1159059790977654
121a6655809ba316
138821472cb91c1
14378d0660a6398
151838bb436434c
hexb6d1c0fcec42

201012002221122 has 48 divisors (see below), whose sum is σ = 442267514208000. Its totient is φ = 65971570534272.

The previous prime is 201012002221097. The next prime is 201012002221127. The reversal of 201012002221122 is 221122200210102.

It is a happy number.

201012002221122 is a `hidden beast` number, since 20 + 101 + 200 + 2 + 221 + 122 = 666.

201012002221122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010120022211222 (a number of 29 digits) contains 22 as substring.

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 = 201012002221095 and 201012002221104.

It is not an unprimeable number, because it can be changed into a prime (201012002221127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196367847 + ... + 197388842.

It is an arithmetic number, because the mean of its divisors is an integer number (9213906546000).

Almost surely, 2201012002221122 is an apocalyptic number.

201012002221122 is an abundant number, since it is smaller than the sum of its proper divisors (241255511986878).

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

201012002221122 is a wasteful number, since it uses less digits than its factorization.

201012002221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393757135 (or 393757132 counting only the distinct ones).

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

Adding to 201012002221122 its reverse (221122200210102), we get a palindrome (422134202431224).

It can be divided in two parts, 20101200 and 2221122, that added together give a palindrome (22322322).

The spelling of 201012002221122 in words is "two hundred one trillion, twelve billion, two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 359 474 711 718 1077 1422 2154 3231 6462 28361 56722 85083 170166 255249 510498 393756689 787513378 1181270067 2362540134 3543810201 7087620402 31106778431 62213556862 93320335293 141358651351 186640670586 279961005879 282717302702 424075954053 559922011758 848151908106 1272227862159 2544455724318 11167333456729 22334666913458 33502000370187 67004000740374 100506001110561 201012002221122