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10182900000 = 25355713373
BaseRepresentation
bin10010111101111001…
…01011100100100000
3222021122220220202110
421132330223210200
5131323310300000
64402234515320
7510225136050
oct113674534440
928248826673
1010182900000
114355a88539
121b82295b40
13c63868320
146c8573560
153e8e8a850
hex25ef2b920

10182900000 has 576 divisors, whose sum is σ = 41230861056. Its totient is φ = 2142720000.

The previous prime is 10182899999. The next prime is 10182900001. The reversal of 10182900000 is 928101.

10182900000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10182899999) and next prime (10182900001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10182900000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182900001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 27299814 + ... + 27300186.

It is an arithmetic number, because the mean of its divisors is an integer number (71581356).

Almost surely, 210182900000 is an apocalyptic number.

10182900000 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 10182900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615430528).

10182900000 is an abundant number, since it is smaller than the sum of its proper divisors (31047961056).

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

10182900000 is an equidigital number, since it uses as much as digits as its factorization.

10182900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 10182900000 in words is "ten billion, one hundred eighty-two million, nine hundred thousand".