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221344323443122 = 211243191311119099
BaseRepresentation
bin110010010100111110111101…
…110001011001100110110010
31002000201022101110211012221211
4302110332331301121212302
5213003001133300134442
62102432102312310334
764423412451144265
oct6224767561314662
91060638343735854
10221344323443122
1164588667170400
12209aa01a0a23aa
1396678ac359469
143c9319dca4cdc
151a8ca19197617
hexc94fbdc599b2

221344323443122 has 48 divisors (see below), whose sum is σ = 373626044114400. Its totient is φ = 98219885037120.

The previous prime is 221344323443101. The next prime is 221344323443161.

221344323443122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14347129 + ... + 25466227.

It is an arithmetic number, because the mean of its divisors is an integer number (7783875919050).

Almost surely, 2221344323443122 is an apocalyptic number.

221344323443122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221344323443122 is a deficient number, since it is larger than the sum of its proper divisors (152281720671278).

221344323443122 is a wasteful number, since it uses less digits than its factorization.

221344323443122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121079 (or 11121068 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 221344323443122 in words is "two hundred twenty-one trillion, three hundred forty-four billion, three hundred twenty-three million, four hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 11 22 43 86 121 242 473 946 1913 3826 5203 10406 21043 42086 82259 164518 231473 462946 904849 1809698 9953339 11119099 19906678 22238198 122310089 244620178 478121257 956242514 1345410979 2690821958 5259333827 10518667654 21270836387 42541672774 57852672097 115705344194 233979200257 467958400514 914645964641 1829291929282 2573771202827 5147542405654 10061105611051 20122211222102 110672161721561 221344323443122