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211110200000020 = 22561173041147541
BaseRepresentation
bin110000000000000011101100…
…011110101011111000010100
31000200110221022211000202201001
4300000003230132223320110
5210132312142200000040
62024554404221313044
762316131362166056
oct6000035436537024
91020427284022631
10211110200000020
11612a23732a5342
121b8166a2a05784
1390a47b6467129
143a1bb06b618d6
1519616da19a59a
hexc000ec7abe14

211110200000020 has 24 divisors (see below), whose sum is σ = 450599148199368. Its totient is φ = 83059750819200.

The previous prime is 211110199999943. The next prime is 211110200000023. The reversal of 211110200000020 is 20000002011112.

It can be written as a sum of positive squares in 4 ways, for example, as 7142331080196 + 203967868919824 = 2672514^2 + 14281732^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211110199999952 and 211110200000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110200000023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86520572551 + ... + 86520574990.

It is an arithmetic number, because the mean of its divisors is an integer number (18774964508307).

Almost surely, 2211110200000020 is an apocalyptic number.

211110200000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110200000020 is an abundant number, since it is smaller than the sum of its proper divisors (239488948199348).

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

211110200000020 is a wasteful number, since it uses less digits than its factorization.

211110200000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173041147611 (or 173041147609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211110200000020 its reverse (20000002011112), we get a palindrome (231110202011132).

The spelling of 211110200000020 in words is "two hundred eleven trillion, one hundred ten billion, two hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 173041147541 346082295082 692164590164 865205737705 1730411475410 3460822950820 10555510000001 21111020000002 42222040000004 52777550000005 105555100000010 211110200000020