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210241250120 = 2351117295318287
BaseRepresentation
bin1100001111001101011…
…0101110001101001000
3202002200002000002120102
43003303112232031020
511421033230000440
6240330011344532
721121655066036
oct3036326561510
9662602002512
10210241250120
1181187782a80
12348b5452148
1316a96ca74a5
14a2662c3556
1557075d8b15
hex30f35ae348

210241250120 has 256 divisors, whose sum is σ = 575940326400. Its totient is φ = 68158504960.

The previous prime is 210241250117. The next prime is 210241250143. The reversal of 210241250120 is 21052142012.

210241250120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 210241250092 and 210241250101.

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, 11487617 + ... + 11505903.

It is an arithmetic number, because the mean of its divisors is an integer number (2249766900).

Almost surely, 2210241250120 is an apocalyptic number.

210241250120 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 210241250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287970163200).

210241250120 is an abundant number, since it is smaller than the sum of its proper divisors (365699076280).

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

210241250120 is a wasteful number, since it uses less digits than its factorization.

210241250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18408 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 210241250120 its reverse (21052142012), we get a palindrome (231293392132).

The spelling of 210241250120 in words is "two hundred ten billion, two hundred forty-one million, two hundred fifty thousand, one hundred twenty".