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2210112212121 = 32111759167133279
BaseRepresentation
bin100000001010010100111…
…101000000110010011001
321211021200112001010200100
4200022110331000302121
5242202302211241441
64411151142530013
7315450432561042
oct40122475006231
97737615033610
102210112212121
117823377a9690
122b8402136909
1313054989bbc8
1478d819838c9
153c7540c7cb6
hex20294f40c99

2210112212121 has 96 divisors (see below), whose sum is σ = 3772442419200. Its totient is φ = 1231872560640.

The previous prime is 2210112212083. The next prime is 2210112212171. The reversal of 2210112212121 is 1212122110122.

2210112212121 is a `hidden beast` number, since 221 + 0 + 11 + 221 + 212 + 1 = 666.

It is not a de Polignac number, because 2210112212121 - 223 = 2210103823513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210112212094 and 2210112212103.

It is not an unprimeable number, because it can be changed into a prime (2210112212171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16515960 + ... + 16649238.

It is an arithmetic number, because the mean of its divisors is an integer number (39296275200).

Almost surely, 22210112212121 is an apocalyptic number.

It is an amenable number.

2210112212121 is a deficient number, since it is larger than the sum of its proper divisors (1562330207079).

2210112212121 is a wasteful number, since it uses less digits than its factorization.

2210112212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133539 (or 133536 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2210112212121 its reverse (1212122110122), we get a palindrome (3422234322243).

The spelling of 2210112212121 in words is "two trillion, two hundred ten billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 59 99 153 167 177 187 501 531 561 649 1003 1503 1683 1837 1947 2839 3009 5511 5841 8517 9027 9853 11033 16533 25551 29559 31229 33099 88677 93687 99297 108383 133279 167501 281061 325149 399837 502503 975447 1199511 1466069 1507509 1842511 2265743 4398207 5527533 6797229 7863461 13194621 16582599 20391687 22257593 23590383 24923173 66772779 70771149 74769519 86498071 133678837 200318337 224308557 244833523 259494213 378379081 401036511 734500569 778482639 1135137243 1203109533 1313197987 1470467207 2203501707 3405411729 3939593961 4162169891 4411401621 11818781883 12486509673 13234204863 14445177857 22324365779 37459529019 43335533571 66973097337 130006600713 200919292011 245568023569 736704070707 2210112212121