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10020012120 = 233357321741
BaseRepresentation
bin10010101010011110…
…10100000001011000
3221212022102100121000
421111033110001120
5131010110341440
64334135345000
7503206461216
oct112517240130
927768370530
1010020012120
114282043458
121b37822160
13c38ba6271
146b0a91cb6
153d9a12730
hex2553d4058

10020012120 has 192 divisors, whose sum is σ = 33883293600. Its totient is φ = 2633886720.

The previous prime is 10020012089. The next prime is 10020012127. The reversal of 10020012120 is 2121002001.

It is a super-3 number, since 3×100200121203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020012127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5754450 + ... + 5756190.

Almost surely, 210020012120 is an apocalyptic number.

10020012120 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 10020012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941646800).

10020012120 is an abundant number, since it is smaller than the sum of its proper divisors (23863281480).

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

10020012120 is a wasteful number, since it uses less digits than its factorization.

10020012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1824 counting only the distinct ones).

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

Adding to 10020012120 its reverse (2121002001), we get a palindrome (12141014121).

The spelling of 10020012120 in words is "ten billion, twenty million, twelve thousand, one hundred twenty".