Search a number
-
+
10096317000 = 23325371117857
BaseRepresentation
bin10010110011100100…
…11001001001001000
3222001122000001012200
421121302121021020
5131134124121000
64345503040200
7505124164350
oct113162311110
928048001180
1010096317000
114311120440
121b592a0060
13c4b941793
146bac75b60
153e1586500
hex259c99248

10096317000 has 768 divisors, whose sum is σ = 45101422080. Its totient is φ = 1972224000.

The previous prime is 10096316981. The next prime is 10096317019. The reversal of 10096317000 is 71369001.

It is an interprime number because it is at equal distance from previous prime (10096316981) and next prime (10096317019).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11780572 + ... + 11781428.

It is an arithmetic number, because the mean of its divisors is an integer number (58725810).

Almost surely, 210096317000 is an apocalyptic number.

10096317000 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 10096317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22550711040).

10096317000 is an abundant number, since it is smaller than the sum of its proper divisors (35005105080).

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

10096317000 is a wasteful number, since it uses less digits than its factorization.

10096317000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 10096317000 in words is "ten billion, ninety-six million, three hundred seventeen thousand".