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10320204000 = 253537091213
BaseRepresentation
bin10011001110010000…
…11101000011100000
3222122020021200102210
421213020131003200
5132113433012000
64424021442120
7513513200211
oct114710350340
928566250383
1010320204000
114416539017
122000270340
13c861404b2
146dc8b5408
1540605d350
hex26721d0e0

10320204000 has 192 divisors, whose sum is σ = 33884585280. Its totient is φ = 2745907200.

The previous prime is 10320203977. The next prime is 10320204001. The reversal of 10320204000 is 40202301.

It is a super-2 number, since 2×103202040002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320204001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8507394 + ... + 8508606.

It is an arithmetic number, because the mean of its divisors is an integer number (176482215).

Almost surely, 210320204000 is an apocalyptic number.

10320204000 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 10320204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16942292640).

10320204000 is an abundant number, since it is smaller than the sum of its proper divisors (23564381280).

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

10320204000 is a wasteful number, since it uses less digits than its factorization.

10320204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10320204000 its reverse (40202301), we get a palindrome (10360406301).

The spelling of 10320204000 in words is "ten billion, three hundred twenty million, two hundred four thousand".