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103403113440 = 253511167117269
BaseRepresentation
bin110000001001101001…
…1100100101111100000
3100212220100012102021020
41200103103210233200
53143232144112230
6115300331325440
710320265651014
oct1402323445740
9325810172236
10103403113440
113a9423a8650
12180595b0880
13999b885733
14500cddc544
152a52da9810
hex18134e4be0

103403113440 has 192 divisors, whose sum is σ = 357461475840. Its totient is φ = 24917104640.

The previous prime is 103403113399. The next prime is 103403113447. The reversal of 103403113440 is 44311304301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103403113440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103403113447) 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, 823126 + ... + 940394.

It is an arithmetic number, because the mean of its divisors is an integer number (1861778520).

Almost surely, 2103403113440 is an apocalyptic number.

103403113440 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 103403113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178730737920).

103403113440 is an abundant number, since it is smaller than the sum of its proper divisors (254058362400).

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

103403113440 is a wasteful number, since it uses less digits than its factorization.

103403113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117465 (or 117457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103403113440 its reverse (44311304301), we get a palindrome (147714417741).

The spelling of 103403113440 in words is "one hundred three billion, four hundred three million, one hundred thirteen thousand, four hundred forty".