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221112112002100 = 225211972072278463
BaseRepresentation
bin110010010001100110101100…
…111001000011010000110100
31001222220010000021000210022021
4302101212230321003100310
5212440200101133031400
62102133300231242524
764400552155361434
oct6221465471032064
91058803007023267
10221112112002100
11644a9135931870
1220971012b19444
13964ba23769117
143c85c51ba02c4
151a86977dbc71a
hexc919ace43434

221112112002100 has 72 divisors (see below), whose sum is σ = 528828885785088. Its totient is φ = 79575492940800.

The previous prime is 221112112002073. The next prime is 221112112002161. The reversal of 221112112002100 is 1200211211122.

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, 1036032532 + ... + 1036245931.

It is an arithmetic number, because the mean of its divisors is an integer number (7344845635904).

Almost surely, 2221112112002100 is an apocalyptic number.

221112112002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112112002100 is an abundant number, since it is smaller than the sum of its proper divisors (307716773782988).

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

221112112002100 is a wasteful number, since it uses less digits than its factorization.

221112112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072278585 (or 2072278578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221112112002100 its reverse (1200211211122), we get a palindrome (222312323213222).

The spelling of 221112112002100 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1067 1100 1940 2134 2425 4268 4850 5335 9700 10670 21340 26675 53350 106700 2072278463 4144556926 8289113852 10361392315 20722784630 22795063093 41445569260 45590126186 51806961575 91180252372 103613923150 113975315465 201011010911 207227846300 227950630930 402022021822 455901261860 569876577325 804044043644 1005055054555 1139753154650 2010110109110 2211121120021 2279506309300 4020220218220 4422242240042 5025275272775 8844484480084 10050550545550 11055605600105 20101101091100 22111211200210 44222422400420 55278028000525 110556056001050 221112112002100