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10020320100 = 22325274347787
BaseRepresentation
bin10010101010100000…
…11111001101100100
3221212100000000001200
421111100133031210
5131010200220400
64334150122500
7503212213140
oct112520371544
927770000050
1010020320100
11428223388a
121b37950430
13c38c834bb
146b0b32220
153d9a73b00
hex25541f364

10020320100 has 432 divisors, whose sum is σ = 37558929408. Its totient is φ = 2186714880.

The previous prime is 10020320077. The next prime is 10020320129. The reversal of 10020320100 is 102302001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12731907 + ... + 12732693.

Almost surely, 210020320100 is an apocalyptic number.

10020320100 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 10020320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779464704).

10020320100 is an abundant number, since it is smaller than the sum of its proper divisors (27538609308).

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

10020320100 is a wasteful number, since it uses less digits than its factorization.

10020320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020320100 its reverse (102302001), we get a palindrome (10122622101).

The spelling of 10020320100 in words is "ten billion, twenty million, three hundred twenty thousand, one hundred".