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221110202100120 = 233531218110593161
BaseRepresentation
bin110010010001100100111011…
…000011010110100110011000
31001222212221002011012201022220
4302101210323003112212120
5212440132143214200440
62102132342523344040
764400453634441204
oct6221447303264630
91058787064181286
10221110202100120
11644a8345833183
122097077b382020
13964b7aab794c8
143c85b10279b04
151a868b53a58d0
hexc9193b0d6998

221110202100120 has 192 divisors, whose sum is σ = 689205526420320. Its totient is φ = 56745439488000.

The previous prime is 221110202100101. The next prime is 221110202100167. The reversal of 221110202100120 is 21001202011122.

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 221110202100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15576340 + ... + 26169500.

Almost surely, 2221110202100120 is an apocalyptic number.

221110202100120 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 221110202100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344602763210160).

221110202100120 is an abundant number, since it is smaller than the sum of its proper divisors (468095324320200).

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

221110202100120 is a wasteful number, since it uses less digits than its factorization.

221110202100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10593418 (or 10593383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221110202100120 its reverse (21001202011122), we get a palindrome (242111404111242).

The spelling of 221110202100120 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred two million, one hundred thousand, one hundred twenty".