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221430121034122 = 271121386811158271
BaseRepresentation
bin110010010110001110110111…
…101101001111000110001010
31002001000111211212010102200101
4302112032313231033012022
5213010402341441042442
62102535332052400014
764432540551504460
oct6226166755170612
91061014755112611
10221430121034122
1164610a9471a400
1220a0278361600a
139672a0363b3a0
143c973bca00830
151a8ed8b61acb7
hexc963b7b4f18a

221430121034122 has 96 divisors (see below), whose sum is σ = 449387779018752. Its totient is φ = 79625966112000.

The previous prime is 221430121034107. The next prime is 221430121034131.

221430121034122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190593847 + ... + 191752117.

It is an arithmetic number, because the mean of its divisors is an integer number (4681122698112).

Almost surely, 2221430121034122 is an apocalyptic number.

221430121034122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221430121034122 is an abundant number, since it is smaller than the sum of its proper divisors (227957657984630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221430121034122 is a wasteful number, since it uses less digits than its factorization.

221430121034122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166996 (or 1166985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 221430121034122 in words is "two hundred twenty-one trillion, four hundred thirty billion, one hundred twenty-one million, thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 8681 11011 17362 22022 60767 95491 112853 121534 190982 225706 668437 789971 1050401 1158271 1241383 1336874 1579942 2100802 2316542 2482766 7352807 8107897 8689681 12740981 13655213 14705614 15057523 16215794 17379362 25481962 27310426 30115046 89186867 95586491 105402661 140150791 165632753 178373734 191172982 210805322 280301582 331265506 981055537 1159429271 1821960283 1962111074 2318858542 3643920566 10054950551 12753721981 20109901102 25507443962 70384653857 110604456061 130714357163 140769307714 221208912122 261428714326 774231192427 915000500141 1216649016671 1437857928793 1548462384854 1830001000282 2433298033342 2875715857586 8516543116697 10065005501551 15816437216723 17033086233394 20130011003102 31632874433446 110715060517061 221430121034122