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10110240000 = 28325471759
BaseRepresentation
bin10010110101001111…
…00000010100000000
3222002121012101222100
421122213200110000
5131201210140000
64351121310400
7505353423240
oct113247402400
928077171870
1010110240000
114318a6aa53
121b61a95400
13c517a7b43
146bca5bb20
153e28d6a00
hex25a9e0500

10110240000 has 1080 divisors, whose sum is σ = 44825901120. Its totient is φ = 2138112000.

The previous prime is 10110239987. The next prime is 10110240001. The reversal of 10110240000 is 4201101.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 171359971 + ... + 171360029.

It is an arithmetic number, because the mean of its divisors is an integer number (41505464).

Almost surely, 210110240000 is an apocalyptic number.

10110240000 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 10110240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22412950560).

10110240000 is an abundant number, since it is smaller than the sum of its proper divisors (34715661120).

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

10110240000 is an equidigital number, since it uses as much as digits as its factorization.

10110240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

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

Adding to 10110240000 its reverse (4201101), we get a palindrome (10114441101).

The spelling of 10110240000 in words is "ten billion, one hundred ten million, two hundred forty thousand".