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2100012022020 = 22351153239251191
BaseRepresentation
bin11110100011110010011…
…110000111100100000100
321102202111110002222022210
4132203302132013210010
5233401311034201040
64244422053423420
7304502153444133
oct36436236074404
97382443088283
102100012022020
1173a679048240
1229abb593ab70
131230516c2b23
14738d935d91a
153995d2de480
hex1e8f2787904

2100012022020 has 192 divisors, whose sum is σ = 6562983813120. Its totient is φ = 497396390400.

The previous prime is 2100012022019. The next prime is 2100012022027. The reversal of 2100012022020 is 202202100012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100012021987 and 2100012022005.

It is not an unprimeable number, because it can be changed into a prime (2100012022027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8234625 + ... + 8485815.

It is an arithmetic number, because the mean of its divisors is an integer number (34182207360).

Almost surely, 22100012022020 is an apocalyptic number.

2100012022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100012022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281491906560).

2100012022020 is an abundant number, since it is smaller than the sum of its proper divisors (4462971791100).

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

2100012022020 is a wasteful number, since it uses less digits than its factorization.

2100012022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251506 (or 251504 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2100012022020 its reverse (202202100012), we get a palindrome (2302214122032).

The spelling of 2100012022020 in words is "two trillion, one hundred billion, twelve million, twenty-two thousand, twenty".