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210102110020 = 225113147798297
BaseRepresentation
bin1100001110101100001…
…1111100011101000100
3202002022101012001020101
43003223003330131010
511420242120010040
6240304121213444
721115345316545
oct3035303743504
9662271161211
10210102110020
1181116188a60
1234876931284
1316a7420b67a
14a251a244cc
1556ea2a209a
hex30eb0fc744

210102110020 has 192 divisors, whose sum is σ = 513907752960. Its totient is φ = 71438515200.

The previous prime is 210102109979. The next prime is 210102110077. The reversal of 210102110020 is 20011201012.

210102110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 210102109979 and 210102110006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25318512 + ... + 25326808.

It is an arithmetic number, because the mean of its divisors is an integer number (2676602880).

Almost surely, 2210102110020 is an apocalyptic number.

210102110020 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 210102110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256953876480).

210102110020 is an abundant number, since it is smaller than the sum of its proper divisors (303805642940).

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

210102110020 is a wasteful number, since it uses less digits than its factorization.

210102110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8472 counting only the distinct ones).

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

Adding to 210102110020 its reverse (20011201012), we get a palindrome (230113311032).

The spelling of 210102110020 in words is "two hundred ten billion, one hundred two million, one hundred ten thousand, twenty".