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200121344022042 = 233443151118233037
BaseRepresentation
bin101101100000001001100001…
…100111110101011000011010
3222020120102011112211001201000
4231200021201213311120122
5202212242003032201132
61545342250513005430
760103201314426522
oct5540114147653032
9866512145731630
10200121344022042
1158845a92603093
121a540a35253876
138788491a55661
14375bcd366a682
15182093702d87c
hexb602619f561a

200121344022042 has 128 divisors (see below), whose sum is σ = 446404548280320. Its totient is φ = 66454112387520.

The previous prime is 200121344022029. The next prime is 200121344022077. The reversal of 200121344022042 is 240220443121002.

It is a happy number.

200121344022042 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 2 + 13 + 440 + 2 + 204 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200121344021997 and 200121344022015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65894415348 + ... + 65894418384.

It is an arithmetic number, because the mean of its divisors is an integer number (3487535533440).

Almost surely, 2200121344022042 is an apocalyptic number.

200121344022042 is an abundant number, since it is smaller than the sum of its proper divisors (246283204258278).

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

200121344022042 is a wasteful number, since it uses less digits than its factorization.

200121344022042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 200121344022042 its reverse (240220443121002), we get a palindrome (440341787143044).

The spelling of 200121344022042 in words is "two hundred trillion, one hundred twenty-one billion, three hundred forty-four million, twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 443 886 1329 1511 1823 2658 3022 3037 3646 3987 4533 5469 6074 7974 9066 9111 10938 11961 13599 16407 18222 23922 27198 27333 32814 40797 49221 54666 81594 81999 98442 163998 669373 807589 1338746 1345391 1615178 2008119 2422767 2690782 2754553 4016238 4036173 4588907 4845534 5509106 5536451 6024357 7268301 8072346 8263659 9177814 11072902 12048714 12108519 13766721 14536602 16527318 16609353 18073071 21804903 24217038 24790977 27533442 33218706 36146142 36325557 41300163 43609806 49581954 49828059 72651114 74372931 82600326 99656118 123900489 148745862 149484177 247800978 298968354 1220266979 2032885801 2440533958 2452647793 3660800937 4065771602 4905295586 6098657403 7321601874 7357943379 8365577461 10982402811 12197314806 14715886758 16731154922 18295972209 21964805622 22073830137 25096732383 32947208433 36591944418 44147660274 50193464766 54887916627 65894416866 66221490411 75290197149 109775833254 132442980822 150580394298 225870591447 451741182894 3705950815223 7411901630446 11117852445669 22235704891338 33353557337007 66707114674014 100060672011021 200121344022042