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10099023000 = 2335311243647
BaseRepresentation
bin10010110011111001…
…01101110010011000
3222001211002112010220
421121330231302120
5131140322214000
64350041040040
7505156164513
oct113174556230
928054075126
1010099023000
1143126a9500
121b5a186020
13c4c37b371
146bb37bd7a
153e191d1a0
hex259f2dc98

10099023000 has 384 divisors, whose sum is σ = 35494018560. Its totient is φ = 2387616000.

The previous prime is 10099022987. The next prime is 10099023007. The reversal of 10099023000 is 32099001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099023007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15608677 + ... + 15609323.

It is an arithmetic number, because the mean of its divisors is an integer number (92432340).

Almost surely, 210099023000 is an apocalyptic number.

10099023000 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 10099023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747009280).

10099023000 is an abundant number, since it is smaller than the sum of its proper divisors (25394995560).

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

10099023000 is a wasteful number, since it uses less digits than its factorization.

10099023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The spelling of 10099023000 in words is "ten billion, ninety-nine million, twenty-three thousand".