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10041232320 = 2632573116067
BaseRepresentation
bin10010101101000000…
…10000101111000000
3221220210100110020100
421112200100233000
5131031023413240
64340214242400
7503555031540
oct112640205700
927823313210
1010041232320
114293017509
121b42956400
13c403c5bb2
146b3817320
153db804e30
hex256810bc0

10041232320 has 336 divisors, whose sum is σ = 40747419648. Its totient is φ = 2220963840.

The previous prime is 10041232301. The next prime is 10041232373. The reversal of 10041232320 is 2323214001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10041232293 and 10041232302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616927 + ... + 632993.

Almost surely, 210041232320 is an apocalyptic number.

10041232320 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 10041232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373709824).

10041232320 is an abundant number, since it is smaller than the sum of its proper divisors (30706187328).

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

10041232320 is a wasteful number, since it uses less digits than its factorization.

10041232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16128 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10041232320 its reverse (2323214001), we get a palindrome (12364446321).

The spelling of 10041232320 in words is "ten billion, forty-one million, two hundred thirty-two thousand, three hundred twenty".