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10023410100 = 223521121914533
BaseRepresentation
bin10010101010111000…
…10001100110110100
3221212112210222202010
421111130101212310
5131011443110400
64334340244220
7503250402654
oct112534214664
927775728663
1010023410100
114283a54400
121b389a0670
13c397c5ac2
146b12d8364
153d9e84450
hex2557119b4

10023410100 has 216 divisors, whose sum is σ = 33557261920. Its totient is φ = 2301868800.

The previous prime is 10023410093. The next prime is 10023410101. The reversal of 10023410100 is 101432001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023410101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 682434 + ... + 696966.

Almost surely, 210023410100 is an apocalyptic number.

10023410100 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 10023410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778630960).

10023410100 is an abundant number, since it is smaller than the sum of its proper divisors (23533851820).

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

10023410100 is a wasteful number, since it uses less digits than its factorization.

10023410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14591 (or 14573 counting only the distinct ones).

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

Adding to 10023410100 its reverse (101432001), we get a palindrome (10124842101).

The spelling of 10023410100 in words is "ten billion, twenty-three million, four hundred ten thousand, one hundred".