Search a number
-
+
104320014002300 = 225217372117860217
BaseRepresentation
bin10111101110000011100101…
…011000001010100001111100
3111200100220012010210220202102
4113232003211120022201330
5102133134342041033200
61005511541451244232
730654605124243665
oct2756034530124174
9450326163726672
10104320014002300
113026a962318208
12b849b01749678
13462944830b395
141ba918938236c
15c0d90a01d6d5
hex5ee0e560a87c

104320014002300 has 144 divisors (see below), whose sum is σ = 247335404708448. Its totient is φ = 38030869094400.

The previous prime is 104320014002257. The next prime is 104320014002371. The reversal of 104320014002300 is 3200410023401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9341792 + ... + 17202008.

It is an arithmetic number, because the mean of its divisors is an integer number (1717606977142).

Almost surely, 2104320014002300 is an apocalyptic number.

104320014002300 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 104320014002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123667702354224).

104320014002300 is an abundant number, since it is smaller than the sum of its proper divisors (143015390706148).

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

104320014002300 is a wasteful number, since it uses less digits than its factorization.

104320014002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860496 (or 7860489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 104320014002300 its reverse (3200410023401), we get a palindrome (107520424025701).

The spelling of 104320014002300 in words is "one hundred four trillion, three hundred twenty billion, fourteen million, two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 211 340 370 422 425 629 740 844 850 925 1055 1258 1700 1850 2110 2516 3145 3587 3700 4220 5275 6290 7174 7807 10550 12580 14348 15614 15725 17935 21100 31228 31450 35870 39035 62900 71740 78070 89675 132719 156140 179350 195175 265438 358700 390350 530876 663595 780700 1327190 2654380 3317975 6635950 7860217 13271900 15720434 31440868 39301085 78602170 133623689 157204340 196505425 267247378 290828029 393010850 534494756 581656058 668118445 786021700 1163312116 1336236890 1454140145 1658505787 2672473780 2908280290 3317011574 3340592225 4944076493 5816560580 6634023148 6681184450 7270700725 8292528935 9888152986 13362368900 14541401450 16585057870 19776305972 24720382465 28194598379 29082802900 33170115740 41462644675 49440764930 56389196758 61364714119 82925289350 98881529860 112778393516 122729428238 123601912325 140972991895 165850578700 245458856476 247203824650 281945983790 306823570595 494407649300 563891967580 613647141190 704864959475 1043200140023 1227294282380 1409729918950 1534117852975 2086400280046 2819459837900 3068235705950 4172800560092 5216000700115 6136471411900 10432001400230 20864002800460 26080003500575 52160007001150 104320014002300