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210020021120 = 2757213796521
BaseRepresentation
bin1100001110011000101…
…0110011001110000000
3202002002122201111102202
43003212022303032000
511420110111133440
6240252025532332
721113330503400
oct3034612631600
9662078644382
10210020021120
1181083910398
12348533440a8
1316a601c9560
14a244b76800
1556e2e89615
hex30e62b3380

210020021120 has 384 divisors, whose sum is σ = 637037654400. Its totient is φ = 65616445440.

The previous prime is 210020021047. The next prime is 210020021149. The reversal of 210020021120 is 21120020012.

It is a happy number.

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, 32203460 + ... + 32209980.

It is an arithmetic number, because the mean of its divisors is an integer number (1658952225).

Almost surely, 2210020021120 is an apocalyptic number.

210020021120 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 210020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318518827200).

210020021120 is an abundant number, since it is smaller than the sum of its proper divisors (427017633280).

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

210020021120 is a wasteful number, since it uses less digits than its factorization.

210020021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210020021120 its reverse (21120020012), we get a palindrome (231140041132).

The spelling of 210020021120 in words is "two hundred ten billion, twenty million, twenty-one thousand, one hundred twenty".