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202102110021020 = 2251127116692031059
BaseRepresentation
bin101101111100111110010000…
…011110011110010110011100
3222111120202212112111102110212
4231330332100132132112130
5202442220110131133040
61553500232210351552
760366252455553056
oct5574762036362634
9874522775442425
10202102110021020
115943a029352260
121a8008ab88b5b8
1388a01bb51bb21
1437c9b1986c8d6
15185721664cd65
hexb7cf9079e59c

202102110021020 has 96 divisors (see below), whose sum is σ = 464984701977600. Its totient is φ = 73176582470400.

The previous prime is 202102110020971. The next prime is 202102110021029. The reversal of 202102110021020 is 20120011201202.

It is a junction number, because it is equal to n+sod(n) for n = 202102110020986 and 202102110021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102110021029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98490251 + ... + 100521309.

It is an arithmetic number, because the mean of its divisors is an integer number (4843590645600).

Almost surely, 2202102110021020 is an apocalyptic number.

202102110021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102110021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232492350988800).

202102110021020 is an abundant number, since it is smaller than the sum of its proper divisors (262882591956580).

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

202102110021020 is a wasteful number, since it uses less digits than its factorization.

202102110021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033019 (or 2033017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202102110021020 its reverse (20120011201202), we get a palindrome (222222121222222).

The spelling of 202102110021020 in words is "two hundred two trillion, one hundred two billion, one hundred ten million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 1669 2710 2981 3338 5420 5962 6676 8345 11924 14905 16690 18359 29810 33380 36718 59620 73436 91795 183590 367180 452299 904598 1809196 2031059 2261495 4062118 4522990 4975289 8124236 9045980 9950578 10155295 19901156 20310590 22341649 24876445 40621180 44683298 49752890 89366596 99505780 111708245 223416490 446832980 550416989 1100833978 2201667956 2752084945 3389837471 5504169890 6054586879 6779674942 11008339780 12109173758 13559349884 16949187355 24218347516 30272934395 33898374710 37288212181 60545868790 67796749420 74576424362 121091737580 149152848724 186441060905 372882121810 745764243620 918645954641 1837291909282 3674583818564 4593229773205 9186459546410 10105105501051 18372919092820 20210211002102 40420422004204 50525527505255 101051055010510 202102110021020