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222120220010121 = 321710331405388329
BaseRepresentation
bin110010100000010001100100…
…110011111010011010001001
31002010110111010001002200211200
4302200101210303322122021
5213103204202310310441
62104224342000414413
764533441055145016
oct6240214463723211
91063414101080750
10222120220010121
1164857724596134
1220ab4478317409
1396c2b01763534
143cbc966d8870d
151aa2ccb3667b6
hexca0464cfa689

222120220010121 has 24 divisors (see below), whose sum is σ = 340042138773480. Its totient is φ = 139234632431616.

The previous prime is 222120220010093. The next prime is 222120220010137. The reversal of 222120220010121 is 121010022021222.

It is a happy number.

222120220010121 is a `hidden beast` number, since 222 + 120 + 2 + 200 + 1 + 0 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85216179650121 + 136904040360000 = 9231261^2 + 11700600^2 .

It is not a de Polignac number, because 222120220010121 - 221 = 222120217912969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222120220010094 and 222120220010103.

It is not an unprimeable number, because it can be changed into a prime (222120225010121) 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, 702536116 + ... + 702852213.

It is an arithmetic number, because the mean of its divisors is an integer number (14168422448895).

Almost surely, 2222120220010121 is an apocalyptic number.

It is an amenable number.

222120220010121 is a deficient number, since it is larger than the sum of its proper divisors (117921918763359).

222120220010121 is a wasteful number, since it uses less digits than its factorization.

222120220010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405389385 (or 1405389382 counting only the distinct ones).

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

Adding to 222120220010121 its reverse (121010022021222), we get a palindrome (343130242031343).

The spelling of 222120220010121 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty million, ten thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 1033 3099 9297 17561 52683 158049 1405388329 4216164987 12648494961 23891601593 71674804779 215024414337 1451766143857 4355298431571 13065895294713 24680024445569 74040073336707 222120220010121