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200120122022022 = 23331672777642517
BaseRepresentation
bin101101100000001000011000…
…110010010001100010000110
3222020120022000101102000211000
4231200020120302101202012
5202212232002214201042
61545341525341154130
760103126115542326
oct5540103062214206
9866508011360730
10200120122022022
1158845515840414
121a540753b5b946
13878832882a617
14375bc19251286
1518208b4ae974c
hexb60218c91886

200120122022022 has 128 divisors (see below), whose sum is σ = 466077005844480. Its totient is φ = 63568374186240.

The previous prime is 200120122021969. The next prime is 200120122022027. The reversal of 200120122022022 is 220220221021002.

200120122022022 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 201 + 220 + 220 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200120122021986 and 200120122022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120122022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311141508 + ... + 311784024.

It is an arithmetic number, because the mean of its divisors is an integer number (3641226608160).

Almost surely, 2200120122022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120122022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233038502922240).

200120122022022 is an abundant number, since it is smaller than the sum of its proper divisors (265956883822458).

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

200120122022022 is a wasteful number, since it uses less digits than its factorization.

200120122022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645403 (or 645397 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200120122022022 its reverse (220220221021002), we get a palindrome (420340343043024).

The spelling of 200120122022022 in words is "two hundred trillion, one hundred twenty billion, one hundred twenty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 67 93 134 186 201 279 402 558 603 837 1206 1674 1809 2077 2777 3618 4154 5554 6231 8331 12462 16662 18693 24993 37386 49986 56079 74979 86087 112158 149958 172174 186059 258261 372118 516522 558177 642517 774783 1116354 1285034 1549566 1674531 1927551 2324349 3349062 3855102 4648698 5023593 5767829 5782653 10047186 11535658 11565306 17303487 17347959 19918027 34606974 34695918 39836054 43048639 51910461 59754081 86097278 103820922 119508162 129145917 155731383 179262243 258291834 311462766 358524486 387437751 537786729 774875502 1075573458 1162313253 1334507809 1784269709 2324626506 2669015618 3568539418 4003523427 5352809127 8007046854 10705618254 12010570281 16058427381 24021140562 32116854762 36031710843 48175282143 55312360979 72063421686 96350564286 110624721958 119546070503 165937082937 239092141006 331874165874 358638211509 497811248811 717276423018 995622497622 1075914634527 1493433746433 2151829269054 2986867492866 3227743903581 3705928185593 6455487807162 7411856371186 11117784556779 22235569113558 33353353670337 66706707340674 100060061011011 200120122022022