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10123302000 = 24353734919
BaseRepresentation
bin10010110110110010…
…10101010001110000
3222010111210000200010
421123121111101300
5131213031131000
64352305254520
7505602435000
oct113331252160
928114700603
1010123302000
114325381699
121b66334440
13c543cc336
146c069c000
153e3b16d50
hex25b655470

10123302000 has 320 divisors, whose sum is σ = 38068992000. Its totient is φ = 2313427200.

The previous prime is 10123301989. The next prime is 10123302019. The reversal of 10123302000 is 20332101.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2055541 + ... + 2060459.

It is an arithmetic number, because the mean of its divisors is an integer number (118965600).

Almost surely, 210123302000 is an apocalyptic number.

10123302000 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 10123302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034496000).

10123302000 is an abundant number, since it is smaller than the sum of its proper divisors (27945690000).

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

10123302000 is an equidigital number, since it uses as much as digits as its factorization.

10123302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10123302000 its reverse (20332101), we get a palindrome (10143634101).

The spelling of 10123302000 in words is "ten billion, one hundred twenty-three million, three hundred two thousand".