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210010011120 = 2433571319531061
BaseRepresentation
bin1100001110010110010…
…0100111010111110000
3202002001221212221022000
43003211210213113300
511420100030323440
6240251031214000
721113146432620
oct3034544472760
9662057787260
10210010011120
11810791a3768
123484bb17300
1316a5b103290
14a2436cc880
1556e215d730
hex30e59275f0

210010011120 has 1280 divisors, whose sum is σ = 955738828800. Its totient is φ = 41146859520.

The previous prime is 210010011119. The next prime is 210010011157. The reversal of 210010011120 is 21110010012.

It is a happy number.

210010011120 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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 197935390 + ... + 197936450.

It is an arithmetic number, because the mean of its divisors is an integer number (746670960).

Almost surely, 2210010011120 is an apocalyptic number.

210010011120 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 210010011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477869414400).

210010011120 is an abundant number, since it is smaller than the sum of its proper divisors (745728817680).

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

210010011120 is a wasteful number, since it uses less digits than its factorization.

210010011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210010011120 its reverse (21110010012), we get a palindrome (231120021132).

The spelling of 210010011120 in words is "two hundred ten billion, ten million, eleven thousand, one hundred twenty".