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221111112020000 = 255480537137273
BaseRepresentation
bin110010010001100101110001…
…010010011011000000100000
31001222220000102120101102202012
4302101211301102123000200
5212440141024134120000
62102133013110212052
764400515323563636
oct6221456122330040
91058800376342665
10221111112020000
11644a8772420484
1220970994054028
13964b8c4537137
143c85b99059356
151a8691a1e1735
hexc9197149b020

221111112020000 has 120 divisors (see below), whose sum is σ = 543977219190636. Its totient is φ = 88442702336000.

The previous prime is 221111112019997. The next prime is 221111112020003. The reversal of 221111112020000 is 20211111122.

It is an interprime number because it is at equal distance from previous prime (221111112019997) and next prime (221111112020003).

It can be written as a sum of positive squares in 10 ways, for example, as 283309223824 + 220827802796176 = 532268^2 + 14860276^2 .

It is not an unprimeable number, because it can be changed into a prime (221111112020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1610671364 + ... + 1610808636.

Almost surely, 2221111112020000 is an apocalyptic number.

221111112020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111112020000 is an abundant number, since it is smaller than the sum of its proper divisors (322866107170636).

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

221111112020000 is an equidigital number, since it uses as much as digits as its factorization.

221111112020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217840 (or 217817 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221111112020000 its reverse (20211111122), we get a palindrome (221131323131122).

The spelling of 221111112020000 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 80537 137273 161074 274546 322148 402685 549092 644296 686365 805370 1098184 1288592 1372730 1610740 2013425 2196368 2577184 2745460 3221480 3431825 4026850 4392736 5490920 6442960 6863650 8053700 10067125 10981840 12885920 13727300 16107400 17159125 20134250 21963680 27454600 32214800 34318250 40268500 50335625 54909200 64429600 68636500 80537000 85795625 100671250 109818400 137273000 161074000 171591250 201342500 274546000 322148000 343182500 402685000 549092000 686365000 805370000 1372730000 1610740000 2745460000 11055555601 22111111202 44222222404 55277778005 88444444808 110555556010 176888889616 221111112020 276388890025 353777779232 442222224040 552777780050 884444448080 1105555560100 1381944450125 1768888896160 2211111120200 2763888900250 4422222240400 5527777800500 6909722250625 8844444480800 11055555601000 13819444501250 22111111202000 27638889002500 44222222404000 55277778005000 110555556010000 221111112020000