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10099301520 = 24357111723161
BaseRepresentation
bin10010110011111011…
…10001110010010000
3222001211121200012110
421121331301302100
5131140410122040
64350051025320
7505161434520
oct113175616220
928054550173
1010099301520
114312879790
121b5a29b240
13c4c448079
146bb411680
153e1975980
hex259f71c90

10099301520 has 960 divisors, whose sum is σ = 43503501312. Its totient is φ = 1880064000.

The previous prime is 10099301519. The next prime is 10099301543. The reversal of 10099301520 is 2510399001.

10099301520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165562290 + ... + 165562350.

Almost surely, 210099301520 is an apocalyptic number.

10099301520 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 10099301520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21751750656).

10099301520 is an abundant number, since it is smaller than the sum of its proper divisors (33404199792).

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

10099301520 is a wasteful number, since it uses less digits than its factorization.

10099301520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The spelling of 10099301520 in words is "ten billion, ninety-nine million, three hundred one thousand, five hundred twenty".