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10041321400 = 235211192331031
BaseRepresentation
bin10010101101000001…
…00110011110111000
3221220210111222102121
421112200212132320
5131031034241100
64340220211024
7503555552335
oct112640463670
927823458377
1010041321400
114293078430
121b42999a74
13c404275c6
146b383b98c
153db82151a
hex2568267b8

10041321400 has 192 divisors, whose sum is σ = 26950060800. Its totient is φ = 3441024000.

The previous prime is 10041321379. The next prime is 10041321403. The reversal of 10041321400 is 412314001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041321403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9738885 + ... + 9739915.

It is an arithmetic number, because the mean of its divisors is an integer number (140364900).

Almost surely, 210041321400 is an apocalyptic number.

10041321400 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 10041321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475030400).

10041321400 is an abundant number, since it is smaller than the sum of its proper divisors (16908739400).

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

10041321400 is a wasteful number, since it uses less digits than its factorization.

10041321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10041321400 its reverse (412314001), we get a palindrome (10453635401).

The spelling of 10041321400 in words is "ten billion, forty-one million, three hundred twenty-one thousand, four hundred".