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200200121000022 = 2311138912301213131
BaseRepresentation
bin101101100001010010111001…
…000110001010000001010110
3222020211221111122121011220010
4231201102321012022001112
5202220034321434000042
61545442355501021050
760111660425616333
oct5541227106120126
9866757448534803
10200200121000022
1158876438109670
121a55415b554786
138792a376951b0
143761a47c0198a
1518229e7e6559c
hexb614b918a056

200200121000022 has 128 divisors (see below), whose sum is σ = 475726583324160. Its totient is φ = 55366058880000.

The previous prime is 200200120999999. The next prime is 200200121000023. The reversal of 200200121000022 is 220000121002002.

It is a junction number, because it is equal to n+sod(n) for n = 200200120999971 and 200200121000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200121000023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 939222397 + ... + 939435527.

It is an arithmetic number, because the mean of its divisors is an integer number (3716613932220).

Almost surely, 2200200121000022 is an apocalyptic number.

200200121000022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200200121000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237863291662080).

200200121000022 is an abundant number, since it is smaller than the sum of its proper divisors (275526462324138).

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

200200121000022 is a wasteful number, since it uses less digits than its factorization.

200200121000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225550.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200200121000022 its reverse (220000121002002), we get a palindrome (420200242002024).

The spelling of 200200121000022 in words is "two hundred trillion, two hundred billion, one hundred twenty-one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 89 143 178 267 286 429 534 858 979 1157 1958 2314 2937 3471 5874 6942 12301 12727 24602 25454 36903 38181 73806 76362 135311 159913 213131 270622 319826 405933 426262 479739 639393 811866 959478 1094789 1278786 1759043 2189578 2344441 2770703 3284367 3518086 4688882 5277129 5541406 6568734 7033323 8312109 10554258 12042679 14066646 14232257 16624218 18968659 24085358 28464514 30477733 36128037 37937318 42696771 56905977 60955466 72256074 85393542 91433199 113811954 156554827 182866398 208655249 246592567 313109654 417310498 469664481 493185134 625965747 739777701 939328962 1251931494 1479555402 2621724431 2712518237 5243448862 5425036474 7865173293 8137554711 15730346586 16275109422 28838968741 34082417603 57677937482 68164835206 86516906223 102247252809 173033812446 204494505618 233333474359 374906593633 466666948718 700000423077 749813187266 1124719780899 1400000846154 2249439561798 2566668217949 3033335166667 5133336435898 6066670333334 7700004653847 9100005500001 15400009307694 18200011000002 33366686833337 66733373666674 100100060500011 200200121000022