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10413031104 = 263275214957
BaseRepresentation
bin10011011001010101…
…00011111011000000
3222212200221210021200
421230222203323000
5132311213443404
64441135221200
7516021206160
oct115452437300
928780853250
1010413031104
114463980433
122027377800
13c9c442188
1470ad5a5a0
1540e297839
hex26caa3ec0

10413031104 has 168 divisors, whose sum is σ = 34183307808. Its totient is φ = 2968842240.

The previous prime is 10413031081. The next prime is 10413031133. The reversal of 10413031104 is 40113031401.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2098194 + ... + 2103150.

Almost surely, 210413031104 is an apocalyptic number.

10413031104 is a gapful number since it is divisible by the number (14) 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 10413031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091653904).

10413031104 is an abundant number, since it is smaller than the sum of its proper divisors (23770276704).

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

10413031104 is a wasteful number, since it uses less digits than its factorization.

10413031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10413031104 its reverse (40113031401), we get a palindrome (50526062505).

The spelling of 10413031104 in words is "ten billion, four hundred thirteen million, thirty-one thousand, one hundred four".