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10020113220 = 223513195312757
BaseRepresentation
bin10010101010011111…
…01100101101000100
3221212022121111021110
421111033230231010
5131010122110340
64334141445020
7503210362035
oct112517545504
927768544243
1010020113220
114282102407
121b37870770
13c38c102a0
146b0abaa8c
153d9a32680
hex2553ecb44

10020113220 has 192 divisors, whose sum is σ = 32407361280. Its totient is φ = 2292406272.

The previous prime is 10020113209. The next prime is 10020113249. The reversal of 10020113220 is 2231102001.

10020113220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020113196 and 10020113205.

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 63 ways as a sum of consecutive naturals, for example, 779082 + ... + 791838.

It is an arithmetic number, because the mean of its divisors is an integer number (168788340).

Almost surely, 210020113220 is an apocalyptic number.

10020113220 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 10020113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203680640).

10020113220 is an abundant number, since it is smaller than the sum of its proper divisors (22387248060).

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

10020113220 is a wasteful number, since it uses less digits than its factorization.

10020113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10020113220 its reverse (2231102001), we get a palindrome (12251215221).

The spelling of 10020113220 in words is "ten billion, twenty million, one hundred thirteen thousand, two hundred twenty".