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10020112020 = 2233531619967
BaseRepresentation
bin10010101010011111…
…01100011010010100
3221212022121102122000
421111033230122110
5131010122041040
64334141435300
7503210355402
oct112517543224
927768542560
1010020112020
114282101516
121b3786bb30
13c38c0c889
146b0aba472
153d9a32130
hex2553ec694

10020112020 has 192 divisors, whose sum is σ = 32264601600. Its totient is φ = 2578988160.

The previous prime is 10020112007. The next prime is 10020112021. The reversal of 10020112020 is 2021102001.

10020112020 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 junction number, because it is equal to n+sod(n) for n = 10020111993 and 10020112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020112021) by changing a digit.

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, 10361577 + ... + 10362543.

It is an arithmetic number, because the mean of its divisors is an integer number (168044800).

Almost surely, 210020112020 is an apocalyptic number.

10020112020 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 10020112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132300800).

10020112020 is an abundant number, since it is smaller than the sum of its proper divisors (22244489580).

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

10020112020 is a wasteful number, since it uses less digits than its factorization.

10020112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020112020 its reverse (2021102001), we get a palindrome (12041214021).

The spelling of 10020112020 in words is "ten billion, twenty million, one hundred twelve thousand, twenty".