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104312315432 = 23138991912263
BaseRepresentation
bin110000100100101111…
…1111001111000101000
3100222020201000122221002
41201021133321320220
53202112423043212
6115530450534132
710351646023463
oct1411137717050
9328221018832
10104312315432
1140269645556
1218271b97348
139ab5051690
145097a722da
152aa7b02ac2
hex18497f9e28

104312315432 has 64 divisors (see below), whose sum is σ = 213246432000. Its totient is φ = 47547523584.

The previous prime is 104312315417. The next prime is 104312315461. The reversal of 104312315432 is 234513213401.

It is a junction number, because it is equal to n+sod(n) for n = 104312315395 and 104312315404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8500133 + ... + 8512395.

It is an arithmetic number, because the mean of its divisors is an integer number (3331975500).

Almost surely, 2104312315432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104312315432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106623216000).

104312315432 is an abundant number, since it is smaller than the sum of its proper divisors (108934116568).

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

104312315432 is a wasteful number, since it uses less digits than its factorization.

104312315432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 104312315432 its reverse (234513213401), we get a palindrome (338825528833).

The spelling of 104312315432 in words is "one hundred four billion, three hundred twelve million, three hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 919 1157 1838 2314 3676 4628 7352 9256 11947 12263 23894 24526 47788 49052 81791 95576 98104 159419 163582 318838 327164 637676 654328 1063283 1091407 1275352 2126566 2182814 4253132 4365628 8506264 8731256 11269697 14188291 22539394 28376582 45078788 56753164 90157576 113506328 146506061 293012122 586024244 1003003033 1172048488 2006006066 4012012132 8024024264 13039039429 26078078858 52156157716 104312315432