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211111001000000 = 2656211111001
BaseRepresentation
bin110000000000000100011100…
…001110010000100001000000
31000200111000101122020210002222
4300000010130032100201000
5210132320312224000000
62024555015513430212
762316160256446013
oct6000043416204100
91020430348223088
10211111001000000
11612a27444594a2
121b81688710b368
1390a48b33aa20a
143a1bb812ab37a
15196173566da85
hexc0011c390840

211111001000000 has 98 divisors (see below), whose sum is σ = 523647540467874. Its totient is φ = 84444400000000.

The previous prime is 211111000999949. The next prime is 211111001000017. The reversal of 211111001000000 is 100111112.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 210572139298816 + 538861701184 = 14511104^2 + 734072^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 104555501 + ... + 106555500.

Almost surely, 2211111001000000 is an apocalyptic number.

211111001000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111001000000 is an abundant number, since it is smaller than the sum of its proper divisors (312536539467874).

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

211111001000000 is an frugal number, since it uses more digits than its factorization.

211111001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211111043 (or 211111008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 211111001000000 its reverse (100111112), we get a palindrome (211111101111112).

The spelling of 211111001000000 in words is "two hundred eleven trillion, one hundred eleven billion, one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 211111001 422222002 844444004 1055555005 1688888008 2111110010 3377776016 4222220020 5277775025 6755552032 8444440040 10555550050 13511104064 16888880080 21111100100 26388875125 33777760160 42222200200 52777750250 67555520320 84444400400 105555500500 131944375625 168888800800 211111001000 263888751250 337777601600 422222002000 527777502500 659721878125 844444004000 1055555005000 1319443756250 1688888008000 2111110010000 2638887512500 3298609390625 4222220020000 5277775025000 6597218781250 8444440040000 10555550050000 13194437562500 21111100100000 26388875125000 42222200200000 52777750250000 105555500500000 211111001000000