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11250316000 = 255371136527
BaseRepresentation
bin10100111101001001…
…00011001011100000
31002001001110021020101
422132210203023200
5141020040103000
65100205152144
7545536052050
oct123644431340
932031407211
1011250316000
114853567a20
12221b85b654
1310a3a4ab21
1478a22d560
1545ca36e6a
hex29e9232e0

11250316000 has 192 divisors, whose sum is σ = 34463729664. Its totient is φ = 3506496000.

The previous prime is 11250315971. The next prime is 11250316003. The reversal of 11250316000 is 61305211.

It is a super-2 number, since 2×112503160002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11250316003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289737 + ... + 326263.

It is an arithmetic number, because the mean of its divisors is an integer number (179498592).

Almost surely, 211250316000 is an apocalyptic number.

11250316000 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 11250316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231864832).

11250316000 is an abundant number, since it is smaller than the sum of its proper divisors (23213413664).

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

11250316000 is a wasteful number, since it uses less digits than its factorization.

11250316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36570 (or 36552 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 11250316000 in words is "eleven billion, two hundred fifty million, three hundred sixteen thousand".