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10309497000 = 23353111722347
BaseRepresentation
bin10011001100111111…
…00111000010101000
3222121111010201012020
421212133213002220
5132103212401000
64423000144440
7513323164365
oct114637470250
928544121166
1010309497000
114410495760
121bb8768120
13c83b61baa
146db2c946c
15405145ba0
hex2667e70a8

10309497000 has 768 divisors, whose sum is σ = 39723540480. Its totient is φ = 2202112000.

The previous prime is 10309496999. The next prime is 10309497053. The reversal of 10309497000 is 79490301.

10309497000 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 (33).

It is a congruent number.

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, 219350977 + ... + 219351023.

It is an arithmetic number, because the mean of its divisors is an integer number (51723360).

Almost surely, 210309497000 is an apocalyptic number.

10309497000 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 10309497000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861770240).

10309497000 is an abundant number, since it is smaller than the sum of its proper divisors (29414043480).

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

10309497000 is a wasteful number, since it uses less digits than its factorization.

10309497000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 10309497000 in words is "ten billion, three hundred nine million, four hundred ninety-seven thousand".