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202020211012120 = 235471061943110739
BaseRepresentation
bin101101111011110001111110…
…111010100011001000011000
3222111021221110212001200222221
4231323301332322203020120
5202434344343004341440
61553354445334353424
760360323104510264
oct5573617672431030
9874257425050887
10202020211012120
1159408321507736
121a7a8a53abb874
138895568b3c607
1437c5b8a8070a4
1518550215b9d4a
hexb7bc7eea3218

202020211012120 has 128 divisors (see below), whose sum is σ = 464746723891200. Its totient is φ = 78998486694400.

The previous prime is 202020211012091. The next prime is 202020211012181. The reversal of 202020211012120 is 21210112020202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202020211012094 and 202020211012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18811821711 + ... + 18811832449.

It is an arithmetic number, because the mean of its divisors is an integer number (3630833780400).

Almost surely, 2202020211012120 is an apocalyptic number.

202020211012120 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 202020211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232373361945600).

202020211012120 is an abundant number, since it is smaller than the sum of its proper divisors (262726512879080).

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

202020211012120 is a wasteful number, since it uses less digits than its factorization.

202020211012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21289 (or 21285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202020211012120 its reverse (21210112020202), we get a palindrome (223230323032322).

The spelling of 202020211012120 in words is "two hundred two trillion, twenty billion, two hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1061 1880 2122 4244 5305 8488 9431 10610 10739 18862 21220 21478 37724 42440 42956 47155 49867 53695 75448 85912 94310 99734 107390 188620 199468 214780 249335 377240 398936 429560 443257 498670 504733 886514 997340 1009466 1773028 1994680 2018932 2216285 2523665 3546056 4037864 4432570 5047330 8865140 10006291 10094660 11394079 17730280 20012582 20189320 22788158 40025164 45576316 50031455 56970395 80050328 91152632 100062910 101279509 113940790 200125820 202559018 227881580 400251640 405118036 455763160 470295677 506397545 535521713 810236072 940591354 1012795090 1071043426 1881182708 2025590180 2142086852 2351478385 2677608565 3762365416 4051180360 4284173704 4702956770 4760136923 5355217130 9405913540 9520273846 10710434260 18811827080 19040547692 21420868520 23800684615 38081095384 47601369230 95202738460 107457559049 190405476920 214915118098 429830236196 537287795245 859660472392 1074575590490 2149151180980 4298302361960 5050505275303 10101010550606 20202021101212 25252526376515 40404042202424 50505052753030 101010105506060 202020211012120