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10201320000 = 26325443659
BaseRepresentation
bin10011000000000101…
…11100101001000000
3222022221120202020200
421200002330221000
5131343014220000
64404133405200
7510540534504
oct114002745100
928287522220
1010201320000
114365419783
121b88499800
13c67617531
146cabaa304
153ea8c8500
hex2600bca40

10201320000 has 420 divisors, whose sum is σ = 37445076240. Its totient is φ = 2653056000.

The previous prime is 10201319981. The next prime is 10201320013. The reversal of 10201320000 is 2310201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15479671 + ... + 15480329.

Almost surely, 210201320000 is an apocalyptic number.

10201320000 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 10201320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722538120).

10201320000 is an abundant number, since it is smaller than the sum of its proper divisors (27243756240).

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

10201320000 is an equidigital number, since it uses as much as digits as its factorization.

10201320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10201320000 its reverse (2310201), we get a palindrome (10203630201).

The spelling of 10201320000 in words is "ten billion, two hundred one million, three hundred twenty thousand".