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21111211012000 = 25536617984573
BaseRepresentation
bin1001100110011010101100…
…01110111010111110100000
32202202012201121000200200011
410303031112032322332200
510231341230004341000
6112522204554334304
74306143326542414
oct463152616727640
982665647020604
1021111211012000
1167aa23a2802aa
12244b5b1a2a394
13ba1a17928005
1452db06642d44
1526923eba82ba
hex1333563bafa0

21111211012000 has 96 divisors (see below), whose sum is σ = 51948724346064. Its totient is φ = 8431708032000.

The previous prime is 21111211011967. The next prime is 21111211012039. The reversal of 21111211012000 is 21011211112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5687023023504 + 15424187988496 = 2384748^2 + 3927364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348287 + ... + 6636286.

Almost surely, 221111211012000 is an apocalyptic number.

21111211012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111211012000 is an abundant number, since it is smaller than the sum of its proper divisors (30837513334064).

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

21111211012000 is an equidigital number, since it uses as much as digits as its factorization.

21111211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985259 (or 7985241 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21111211012000 its reverse (21011211112), we get a palindrome (21132222223112).

The spelling of 21111211012000 in words is "twenty-one trillion, one hundred eleven billion, two hundred eleven million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 661 800 1000 1322 2000 2644 3305 4000 5288 6610 10576 13220 16525 21152 26440 33050 52880 66100 82625 105760 132200 165250 264400 330500 528800 661000 1322000 2644000 7984573 15969146 31938292 39922865 63876584 79845730 127753168 159691460 199614325 255506336 319382920 399228650 638765840 798457300 998071625 1277531680 1596914600 1996143250 3193829200 3992286500 5277802753 6387658400 7984573000 10555605506 15969146000 21111211012 26389013765 31938292000 42222422024 52778027530 84444844048 105556055060 131945068825 168889688096 211112110120 263890137650 422224220240 527780275300 659725344125 844448440480 1055560550600 1319450688250 2111121101200 2638901376500 4222242202400 5277802753000 10555605506000 21111211012000