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10024300000 = 25551113701
BaseRepresentation
bin10010101010111111…
…01010110111100000
3221212121111012110101
421111133222313200
5131012210100000
64334411312144
7503261100301
oct112537526740
927777435411
1010024300000
114284501a60
121b3914b654
13c39a47b80
146b148a7a8
153da0ace6a
hex2557eade0

10024300000 has 288 divisors, whose sum is σ = 29021455008. Its totient is φ = 3360000000.

The previous prime is 10024299983. The next prime is 10024300021. The reversal of 10024300000 is 342001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10024300000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14299650 + ... + 14300350.

It is an arithmetic number, because the mean of its divisors is an integer number (100768941).

Almost surely, 210024300000 is an apocalyptic number.

10024300000 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 10024300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14510727504).

10024300000 is an abundant number, since it is smaller than the sum of its proper divisors (18997155008).

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

10024300000 is an equidigital number, since it uses as much as digits as its factorization.

10024300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10024300000 its reverse (342001), we get a palindrome (10024642001).

The spelling of 10024300000 in words is "ten billion, twenty-four million, three hundred thousand".