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201210202221021 = 32719158612853017
BaseRepresentation
bin101101101111111111100110…
…101000001110100111011101
3222101102111200221121200202200
4231233333212220032213131
5202333111443232033041
61551534405115042113
760244646245420260
oct5557774650164735
9871374627550680
10201210202221021
1159125849684064
121a697a75740339
13883706b418256
1437988a90b0cd7
15183de147801b6
hexb6ffe6a0e9dd

201210202221021 has 48 divisors (see below), whose sum is σ = 333952649791488. Its totient is φ = 114355728518400.

The previous prime is 201210202221011. The next prime is 201210202221073. The reversal of 201210202221021 is 120122202012102.

It is a happy number.

201210202221021 is a `hidden beast` number, since 20 + 1 + 210 + 202 + 2 + 210 + 21 = 666.

It is not a de Polignac number, because 201210202221021 - 29 = 201210202220509 is a prime.

It is a super-2 number, since 2×2012102022210212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201210202220985 and 201210202221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210202221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69098905 + ... + 71951921.

It is an arithmetic number, because the mean of its divisors is an integer number (6957346870656).

Almost surely, 2201210202221021 is an apocalyptic number.

201210202221021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201210202221021 is a deficient number, since it is larger than the sum of its proper divisors (132742447570467).

201210202221021 is a wasteful number, since it uses less digits than its factorization.

201210202221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859082 (or 2859079 counting only the distinct ones).

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

Adding to 201210202221021 its reverse (120122202012102), we get a palindrome (321332404233123).

The spelling of 201210202221021 in words is "two hundred one trillion, two hundred ten billion, two hundred two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 63 191 573 1337 1719 4011 5861 12033 17583 41027 52749 123081 369243 1119451 2853017 3358353 7836157 8559051 10075059 19971119 23508471 25677153 59913357 70525413 179740071 544926247 1634778741 3814483729 4904336223 11443451187 16721532637 34330353561 50164597911 117050728459 150493793733 351152185377 1053456556131 3193812733667 9581438201001 22356689135669 28744314603003 67070067407007 201210202221021