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104412513000 = 2335376945259
BaseRepresentation
bin110000100111101111…
…0001000001011101000
3100222111200120020011010
41201033132020023220
53202314100404000
6115544430303520
710354303500615
oct1411736101350
9328450506133
10104412513000
1140310161464
121829b657ba0
139acca34093
1450a70b550c
152ab17e5d50
hex184f7882e8

104412513000 has 128 divisors (see below), whose sum is σ = 326197872000. Its totient is φ = 27806515200.

The previous prime is 104412512977. The next prime is 104412513031. The reversal of 104412513000 is 315214401.

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 31 ways as a sum of consecutive naturals, for example, 2284371 + ... + 2329629.

It is an arithmetic number, because the mean of its divisors is an integer number (2548420875).

Almost surely, 2104412513000 is an apocalyptic number.

104412513000 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 104412513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163098936000).

104412513000 is an abundant number, since it is smaller than the sum of its proper divisors (221785359000).

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

104412513000 is a wasteful number, since it uses less digits than its factorization.

104412513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46052 (or 46038 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 104412513000 its reverse (315214401), we get a palindrome (104727727401).

The spelling of 104412513000 in words is "one hundred four billion, four hundred twelve million, five hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 769 1000 1500 1538 2307 3000 3076 3845 4614 6152 7690 9228 11535 15380 18456 19225 23070 30760 38450 45259 46140 57675 76900 90518 92280 96125 115350 135777 153800 181036 192250 226295 230700 271554 288375 362072 384500 452590 461400 543108 576750 678885 769000 905180 1086216 1131475 1153500 1357770 1810360 2262950 2307000 2715540 3394425 4525900 5431080 5657375 6788850 9051800 11314750 13577700 16972125 22629500 27155400 33944250 34804171 45259000 67888500 69608342 104412513 135777000 139216684 174020855 208825026 278433368 348041710 417650052 522062565 696083420 835300104 870104275 1044125130 1392166840 1740208550 2088250260 2610312825 3480417100 4176500520 4350521375 5220625650 6960834200 8701042750 10441251300 13051564125 17402085500 20882502600 26103128250 34804171000 52206256500 104412513000