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103513421232 = 24341316337693
BaseRepresentation
bin110000001100111100…
…0010111010110110000
3100220012000202122010000
41200121320113112300
53143443413434412
6115315311510000
710323105364044
oct1403170272660
9326160678100
10103513421232
113a99969a511
121808a528300
1399b8697c10
14501d914024
152a5c8e84dc
hex1819e175b0

103513421232 has 200 divisors, whose sum is σ = 324631885424. Its totient is φ = 31654043136.

The previous prime is 103513421203. The next prime is 103513421267. The reversal of 103513421232 is 232124315301.

103513421232 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 1 + 3 + 421 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103513421196 and 103513421205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2727378 + ... + 2765070.

Almost surely, 2103513421232 is an apocalyptic number.

103513421232 is a gapful number since it is divisible by the number (12) 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 103513421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162315942712).

103513421232 is an abundant number, since it is smaller than the sum of its proper divisors (221118464192).

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

103513421232 is a wasteful number, since it uses less digits than its factorization.

103513421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37889 (or 37874 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 103513421232 its reverse (232124315301), we get a palindrome (335637736533).

The spelling of 103513421232 in words is "one hundred three billion, five hundred thirteen million, four hundred twenty-one thousand, two hundred thirty-two".