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103213300320 = 25325135513531
BaseRepresentation
bin110000000011111111…
…1011111101001100000
3100212102010000220121200
41200013333133221200
53142340101102240
6115225431121200
710312502402004
oct1400777375140
9325363026550
10103213300320
113a8552431a9
1218005b13200
13996b457090
144dd1b0c704
152a413b3930
hex1807fdfa60

103213300320 has 144 divisors (see below), whose sum is σ = 379308947472. Its totient is φ = 25406346240.

The previous prime is 103213300303. The next prime is 103213300397. The reversal of 103213300320 is 23003312301.

103213300320 is a `hidden beast` number, since 1 + 0 + 32 + 13 + 300 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103213300293 and 103213300302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2738046 + ... + 2775485.

It is an arithmetic number, because the mean of its divisors is an integer number (2634089913).

Almost surely, 2103213300320 is an apocalyptic number.

103213300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213300320 is an abundant number, since it is smaller than the sum of its proper divisors (276095647152).

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

103213300320 is a wasteful number, since it uses less digits than its factorization.

103213300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513565 (or 5513554 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103213300320 its reverse (23003312301), we get a palindrome (126216612621).

The spelling of 103213300320 in words is "one hundred three billion, two hundred thirteen million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 5513531 11027062 16540593 22054124 27567655 33081186 44108248 49621779 55135310 66162372 71675903 82702965 88216496 99243558 110270620 132324744 143351806 165405930 176432992 198487116 215027709 220541240 248108895 264649488 286703612 330811860 358379515 396974232 430055418 441082480 496217790 529298976 573407224 645083127 661623720 716759030 793948464 860110836 882164960 992435580 1075138545 1146814448 1290166254 1323247440 1433518060 1587896928 1720221672 1984871160 2150277090 2293628896 2580332508 2646494880 2867036120 3225415635 3440443344 3969742320 4300554180 5160665016 5734072240 6450831270 6880886688 7939484640 8601108360 10321330032 11468144480 12901662540 17202216720 20642660064 25803325080 34404433440 51606650160 103213300320