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10020111300 = 223252671071553
BaseRepresentation
bin10010101010011111…
…01100001111000100
3221212022121101122100
421111033230033010
5131010122030200
64334141432100
7503210353323
oct112517541704
927768541570
1010020111300
114282100a21
121b3786b630
13c38c0c454
146b0aba0ba
153d9a31d00
hex2553ec3c4

10020111300 has 216 divisors, whose sum is σ = 32194876896. Its totient is φ = 2605870080.

The previous prime is 10020111289. The next prime is 10020111313. The reversal of 10020111300 is 311102001.

10020111300 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6451324 + ... + 6452876.

It is an arithmetic number, because the mean of its divisors is an integer number (149050356).

Almost surely, 210020111300 is an apocalyptic number.

10020111300 is a gapful number since it is divisible by the number (10) 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 10020111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16097438448).

10020111300 is an abundant number, since it is smaller than the sum of its proper divisors (22174765596).

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

10020111300 is a wasteful number, since it uses less digits than its factorization.

10020111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10020111300 its reverse (311102001), we get a palindrome (10331213301).

The spelling of 10020111300 in words is "ten billion, twenty million, one hundred eleven thousand, three hundred".