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202100212012020 = 223571015334739257
BaseRepresentation
bin101101111100111100011111…
…010110001001001111110100
3222111120120222021001120121020
4231330330133112021033310
5202442202213233341040
61553455320005421140
760366154441005120
oct5574743726111764
9874516867046536
10202100212012020
1159439244a36a83
121a80046010a7b0
13889cc7823458a
1437c99b9762580
151857154bd4cd0
hexb7cf1f5893f4

202100212012020 has 96 divisors (see below), whose sum is σ = 646727184461568. Its totient is φ = 46193869458432.

The previous prime is 202100212012003. The next prime is 202100212012043. The reversal of 202100212012020 is 20210212001202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40274232 + ... + 45013488.

It is an arithmetic number, because the mean of its divisors is an integer number (6736741504808).

Almost surely, 2202100212012020 is an apocalyptic number.

202100212012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100212012020 is an abundant number, since it is smaller than the sum of its proper divisors (444626972449548).

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

202100212012020 is a wasteful number, since it uses less digits than its factorization.

202100212012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840809 (or 4840807 counting only the distinct ones).

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

Adding to 202100212012020 its reverse (20210212001202), we get a palindrome (222310424013222).

The spelling of 202100212012020 in words is "two hundred two trillion, one hundred billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 101533 203066 304599 406132 507665 609198 710731 1015330 1218396 1421462 1522995 2030660 2132193 2842924 3045990 3553655 4264386 4739257 6091980 7107310 8528772 9478514 10660965 14214620 14217771 18957028 21321930 23696285 28435542 33174799 42643860 47392570 56871084 66349598 71088855 94785140 99524397 132699196 142177710 165873995 199048794 284355420 331747990 398097588 497621985 663495980 995243970 1990487940 481190980981 962381961962 1443572942943 1924763923924 2405954904905 2887145885886 3368336866867 4811909809810 5774291771772 6736673733734 7217864714715 9623819619620 10105010600601 13473347467468 14435729429430 16841684334335 20210021201202 28871458858860 33683368668670 40420042402404 50525053003005 67366737337340 101050106006010 202100212012020