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20221012200102 = 2373785395316007
BaseRepresentation
bin1001001100100000100100…
…01111111100101010100110
32122121002222002220112220120
410212100102033330222212
510122300113110400402
6111001223232342410
74154630350515330
oct446202217745246
978532862815816
1020221012200102
11649675725416a
122326b740a4a06
13b38aaa8c9abc
144dc9b8c2a450
15250edcd673bc
hex1264123fcaa6

20221012200102 has 128 divisors (see below), whose sum is σ = 47577120159744. Its totient is φ = 5608453229568.

The previous prime is 20221012200071. The next prime is 20221012200107. The reversal of 20221012200102 is 20100221012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221012200107) 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, 1263252583 + ... + 1263268589.

It is an arithmetic number, because the mean of its divisors is an integer number (371696251248).

Almost surely, 220221012200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221012200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788560079872).

20221012200102 is an abundant number, since it is smaller than the sum of its proper divisors (27356107959642).

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

20221012200102 is a wasteful number, since it uses less digits than its factorization.

20221012200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20221012200102 its reverse (20100221012202), we get a palindrome (40321233212304).

The spelling of 20221012200102 in words is "twenty trillion, two hundred twenty-one billion, twelve million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 853 953 1554 1706 1906 2559 2859 5118 5718 5971 6671 11942 13342 16007 17913 20013 31561 32014 35261 35826 40026 48021 63122 70522 94683 96042 105783 112049 189366 211566 220927 224098 246827 336147 441854 493654 592259 662781 672294 740481 812909 1184518 1325562 1480962 1625818 1776777 2438727 3553554 4145813 4877454 5690363 8291626 11380726 12437439 13653971 15254671 17071089 24874878 27307942 30077633 30509342 34142178 40961913 45764013 60155266 81923826 90232899 91528026 95577797 106782697 180465798 191155594 210543431 213565394 286733391 320348091 421086862 505196927 564422827 573466782 631630293 640696182 1010393854 1128845654 1263260586 1515590781 1693268481 3031181562 3386536962 3536378489 3950959789 7072756978 7901919578 10609135467 11852879367 13012234363 21218270934 23705758734 26024468726 39036703089 78073406178 91085640541 182171281082 273256921623 481452671431 546513843246 962905342862 1444358014293 2888716028586 3370168700017 6740337400034 10110506100051 20221012200102