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103410010440 = 233251126839733
BaseRepresentation
bin110000001001110110…
…1111000100101001000
3100212220211011211011200
41200103231320211020
53143240430313230
6115301135224200
710320411404622
oct1402355704510
9325824154150
10103410010440
113a946289450
121805b978060
1399a012bab9
14500dcb5c12
152a537bd160
hex1813b78948

103410010440 has 192 divisors, whose sum is σ = 366809826240. Its totient is φ = 25057175040.

The previous prime is 103410010433. The next prime is 103410010493. The reversal of 103410010440 is 44010014301.

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 47 ways as a sum of consecutive naturals, for example, 10619814 + ... + 10629546.

It is an arithmetic number, because the mean of its divisors is an integer number (1910467845).

Almost surely, 2103410010440 is an apocalyptic number.

103410010440 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 103410010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183404913120).

103410010440 is an abundant number, since it is smaller than the sum of its proper divisors (263399815800).

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

103410010440 is a wasteful number, since it uses less digits than its factorization.

103410010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103410010440 its reverse (44010014301), we get a palindrome (147420024741).

The spelling of 103410010440 in words is "one hundred three billion, four hundred ten million, ten thousand, four hundred forty".