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10373018112 = 29341714713
BaseRepresentation
bin10011010100100011…
…11011001000000000
3222202220122220210000
421222101323020000
5132220443034422
64433145440000
7515024125212
oct115221731000
928686586700
1010373018112
114443331046
122015aa0000
13c94072752
147059025b2
1540a9e1cac
hex26a47b200

10373018112 has 200 divisors, whose sum is σ = 32784175116. Its totient is φ = 3254059008.

The previous prime is 10373018093. The next prime is 10373018113. The reversal of 10373018112 is 21181037301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9616548096 + 756470016 = 98064^2 + 27504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10373018113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 697668 + ... + 712380.

Almost surely, 210373018112 is an apocalyptic number.

10373018112 is a gapful number since it is divisible by the number (12) 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 10373018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392087558).

10373018112 is an abundant number, since it is smaller than the sum of its proper divisors (22411157004).

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

10373018112 is an equidigital number, since it uses as much as digits as its factorization.

10373018112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10373018112 in words is "ten billion, three hundred seventy-three million, eighteen thousand, one hundred twelve".