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2100022112220 = 22354317312493767
BaseRepresentation
bin11110100011110011000…
…100100110111111011100
321102202112011002121110220
4132203303010212333130
5233401321130042340
64244423054001340
7304502335300464
oct36436304467734
97382464077426
102100022112220
1173a68380a14a
1229abb91a6250
13123053816766
14738da828ba4
153995e133ed0
hex1e8f3126fdc

2100022112220 has 192 divisors, whose sum is σ = 6058039680000. Its totient is φ = 543241101312.

The previous prime is 2100022112219. The next prime is 2100022112233. The reversal of 2100022112220 is 222112200012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100022112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557476777 + ... + 557480543.

It is an arithmetic number, because the mean of its divisors is an integer number (31552290000).

Almost surely, 22100022112220 is an apocalyptic number.

2100022112220 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 2100022112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029019840000).

2100022112220 is an abundant number, since it is smaller than the sum of its proper divisors (3958017567780).

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

2100022112220 is a wasteful number, since it uses less digits than its factorization.

2100022112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2100022112220 its reverse (222112200012), we get a palindrome (2322134312232).

The spelling of 2100022112220 in words is "two trillion, one hundred billion, twenty-two million, one hundred twelve thousand, two hundred twenty".