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102212211123 = 3311990134759
BaseRepresentation
bin101111100110001010…
…0101001000110110011
3100202211100022022102000
41133030110221012303
53133312311223443
6114542230225043
710245625313421
oct1371424510663
9322740268360
10102212211123
113a391146060
12179867b5183
13983bc281c9
144d38b9a111
1529d35698d3
hex17cc5291b3

102212211123 has 32 divisors (see below), whose sum is σ = 165212889600. Its totient is φ = 61938756000.

The previous prime is 102212211089. The next prime is 102212211217. The reversal of 102212211123 is 321112212201.

It is not a de Polignac number, because 102212211123 - 216 = 102212145587 is a prime.

It is a super-2 number, since 2×1022122111232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212211096 and 102212211105.

It is not an unprimeable number, because it can be changed into a prime (102212211823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2923218 + ... + 2957976.

It is an arithmetic number, because the mean of its divisors is an integer number (5162902800).

Almost surely, 2102212211123 is an apocalyptic number.

102212211123 is a deficient number, since it is larger than the sum of its proper divisors (63000678477).

102212211123 is a wasteful number, since it uses less digits than its factorization.

102212211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44680 (or 44674 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102212211123 its reverse (321112212201), we get a palindrome (423324423324).

The spelling of 102212211123 in words is "one hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 9 11 27 33 99 297 9901 29703 34759 89109 104277 108911 267327 312831 326733 382349 938493 980199 1147047 2940597 3441141 10323423 344148859 1032446577 3097339731 3785637449 9292019193 11356912347 34070737041 102212211123