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211010212012020 = 2235122921791313237
BaseRepresentation
bin101111111110100110100100…
…101110110001111111110100
31000200010101020110222200211020
4233332212210232301333310
5210124142403233341040
62024440430403541140
762305661522260011
oct5776464456617764
91020111213880736
10211010212012020
1161263a23724013
121b7bb23908a7b0
1390982402a1ca5
143a16d3d54a708
15195dcd7034cd0
hexbfe9a4bb1ff4

211010212012020 has 96 divisors (see below), whose sum is σ = 591581150697600. Its totient is φ = 56197759901184.

The previous prime is 211010212011943. The next prime is 211010212012031. The reversal of 211010212012020 is 20210212010112.

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 (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160022842 + ... + 161336078.

It is an arithmetic number, because the mean of its divisors is an integer number (6162303653100).

Almost surely, 2211010212012020 is an apocalyptic number.

211010212012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010212012020 is an abundant number, since it is smaller than the sum of its proper divisors (380570938685580).

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

211010212012020 is a wasteful number, since it uses less digits than its factorization.

211010212012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316657 (or 1316655 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211010212012020 its reverse (20210212010112), we get a palindrome (231220424022132).

The spelling of 211010212012020 in words is "two hundred eleven trillion, ten billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1229 2179 2458 3687 4358 4916 6145 6537 7374 8716 10895 12290 13074 14748 18435 21790 24580 26148 32685 36870 43580 65370 73740 130740 1313237 2626474 2677991 3939711 5252948 5355982 6566185 7879422 8033973 10711964 13132370 13389955 15758844 16067946 19698555 26264740 26779910 32135892 39397110 40169865 53559820 78794220 80339730 160679460 1613968273 2861543423 3227936546 4841904819 5723086846 6455873092 8069841365 8584630269 9683809638 11446173692 14307717115 16139682730 17169260538 19367619276 24209524095 28615434230 32279365460 34338521076 42923151345 48419048190 57230868460 85846302690 96838096380 171692605380 3516836866867 7033673733734 10550510600601 14067347467468 17584184334335 21101021201202 35168368668670 42202042402404 52752553003005 70336737337340 105505106006010 211010212012020