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2212344432122 = 21121919121111939
BaseRepresentation
bin100000001100011010000…
…000010000010111111010
321211111110002100122212012
4200030122000100113322
5242221340133311442
64412200443045522
7315556646253056
oct40143200202772
97744402318765
102212344432122
11783282835600
122b89258108a2
131308141a1b46
147911420ac66
153c83505b582
hex2031a0105fa

2212344432122 has 96 divisors (see below), whose sum is σ = 3878325964800. Its totient is φ = 943125876000.

The previous prime is 2212344432037. The next prime is 2212344432187.

2212344432122 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, 185298029 + ... + 185309967.

It is an arithmetic number, because the mean of its divisors is an integer number (40399228800).

Almost surely, 22212344432122 is an apocalyptic number.

2212344432122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212344432122 is a deficient number, since it is larger than the sum of its proper divisors (1665981532678).

2212344432122 is a wasteful number, since it uses less digits than its factorization.

2212344432122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384 (or 12373 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 2212344432122 in words is "two trillion, two hundred twelve billion, three hundred forty-four million, four hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 121 191 209 211 242 382 418 422 2101 2299 2321 3629 4009 4202 4598 4642 7258 8018 11939 23111 23878 25531 39919 40301 44099 46222 51062 79838 80602 88198 131329 226841 262658 439109 443311 453682 485089 765719 878218 886622 970178 1444619 1531438 2280349 2495251 2519129 2889238 4560698 4876421 4990502 5038258 8422909 9752842 16845818 25083839 27447761 27710419 43326631 47863451 50167678 54895522 55420838 86653262 92651999 95726902 185303998 275922229 304814609 476592941 481153639 526497961 551844458 609629218 953185882 962307278 1052995922 5242522351 5292690029 5791477571 9141919141 10485044702 10585380058 11582955142 18283838282 58219590319 100561110551 116439180638 201122221102 1106172216061 2212344432122