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10023113100 = 223527111333377
BaseRepresentation
bin10010101010110110…
…01001000110001100
3221212112020220100010
421111123021012030
5131011404104400
64334330033220
7503245025040
oct112533110614
927775226303
1010023113100
114283871250
121b38878810
13c39720870
146b125c020
153d9e26450
hex2556c918c

10023113100 has 288 divisors, whose sum is σ = 38938507776. Its totient is φ = 1922457600.

The previous prime is 10023113083. The next prime is 10023113129. The reversal of 10023113100 is 131132001.

It is a super-2 number, since 2×100231131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283612 + ... + 316988.

It is an arithmetic number, because the mean of its divisors is an integer number (135203152).

Almost surely, 210023113100 is an apocalyptic number.

10023113100 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 10023113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19469253888).

10023113100 is an abundant number, since it is smaller than the sum of its proper divisors (28915394676).

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

10023113100 is a wasteful number, since it uses less digits than its factorization.

10023113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33425 (or 33418 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10023113100 its reverse (131132001), we get a palindrome (10154245101).

The spelling of 10023113100 in words is "ten billion, twenty-three million, one hundred thirteen thousand, one hundred".