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104301333300 = 223522916097451
BaseRepresentation
bin110000100100011011…
…0000000101100110100
3100222012221100201021110
41201020312000230310
53202102120131200
6115525415315020
710351453463553
oct1411066005464
9328187321243
10104301333300
114026342450a
121826a37ba70
139ab29a7a88
145096413d9a
152aa6b83b50
hex1848d80b34

104301333300 has 144 divisors (see below), whose sum is σ = 312420628800. Its totient is φ = 26834304000.

The previous prime is 104301333281. The next prime is 104301333341. The reversal of 104301333300 is 3333103401.

104301333300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13994575 + ... + 14002025.

It is an arithmetic number, because the mean of its divisors is an integer number (2169587700).

Almost surely, 2104301333300 is an apocalyptic number.

104301333300 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 104301333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156210314400).

104301333300 is an abundant number, since it is smaller than the sum of its proper divisors (208119295500).

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

104301333300 is a wasteful number, since it uses less digits than its factorization.

104301333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9106 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 104301333300 its reverse (3333103401), we get a palindrome (107634436701).

The spelling of 104301333300 in words is "one hundred four billion, three hundred one million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1609 1740 2175 2900 3218 4350 4827 6436 7451 8045 8700 9654 14902 16090 19308 22353 24135 29804 32180 37255 40225 44706 46661 48270 74510 80450 89412 93322 96540 111765 120675 139983 149020 160900 186275 186644 216079 223530 233305 241350 279966 372550 432158 447060 466610 482700 558825 559932 648237 699915 745100 864316 933220 1080395 1117650 1166525 1296474 1399830 2160790 2235300 2333050 2592948 2799660 3241185 3499575 4321580 4666100 5401975 6482370 6999150 10803950 11988659 12964740 13998300 16205925 21607900 23977318 32411850 35965977 47954636 59943295 64823700 71931954 119886590 143863908 179829885 239773180 299716475 347671111 359659770 599432950 695342222 719319540 899149425 1043013333 1198865900 1390684444 1738355555 1798298850 2086026666 3476711110 3596597700 4172053332 5215066665 6953422220 8691777775 10430133330 17383555550 20860266660 26075333325 34767111100 52150666650 104301333300