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211231121211100 = 22522979922004021
BaseRepresentation
bin110000000001110100010011…
…111100011111111011011100
31000200220111110000121202020101
4300001310103330133323130
5210141302314012223400
62025130123142430444
762330642045422054
oct6001642374377334
91020814400552211
10211231121211100
1161339685159a31
121b83600b132424
1390b30174635c3
143a238d8586564
151964915e6c56a
hexc01d13f1fedc

211231121211100 has 72 divisors (see below), whose sum is σ = 480179694657600. Its totient is φ = 80546271187200.

The previous prime is 211231121211031. The next prime is 211231121211137. The reversal of 211231121211100 is 1112121132112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460772911 + ... + 461231110.

It is an arithmetic number, because the mean of its divisors is an integer number (6669162425800).

Almost surely, 2211231121211100 is an apocalyptic number.

211231121211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211231121211100 is an abundant number, since it is smaller than the sum of its proper divisors (268948573446500).

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

211231121211100 is a wasteful number, since it uses less digits than its factorization.

211231121211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922004143 (or 922004136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 211231121211100 its reverse (1112121132112), we get a palindrome (212343242343212).

The spelling of 211231121211100 in words is "two hundred eleven trillion, two hundred thirty-one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 580 725 790 1450 1580 1975 2291 2900 3950 4582 7900 9164 11455 22910 45820 57275 114550 229100 922004021 1844008042 3688016084 4610020105 9220040210 18440080420 23050100525 26738116609 46100201050 53476233218 72838317659 92200402100 106952466436 133690583045 145676635318 267381166090 291353270636 364191588295 534762332180 668452915225 728383176590 1336905830450 1456766353180 1820957941475 2112311212111 2673811660900 3641915882950 4224622424222 7283831765900 8449244848444 10561556060555 21123112121110 42246224242220 52807780302775 105615560605550 211231121211100