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102304002442320 = 24325720298413183
BaseRepresentation
bin10111010000101110000001…
…101110011000010001010000
3111102020011111211101112200100
4113100232001232120101100
5101402122044111123240
61001325450535052400
730356135356601010
oct2720560156302120
9442204454345610
10102304002442320
112a66297a356428
12b58324b511100
1345112c27a4183
141b3977c1d1c40
15bc6266514e30
hex5d0b81b98450

102304002442320 has 120 divisors (see below), whose sum is σ = 392652504631296. Its totient is φ = 23383771985664.

The previous prime is 102304002442303. The next prime is 102304002442349. The reversal of 102304002442320 is 23244200403201.

102304002442320 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 400 + 24 + 4 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1023040024423202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10149201552 + ... + 10149211631.

Almost surely, 2102304002442320 is an apocalyptic number.

102304002442320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102304002442320 is an abundant number, since it is smaller than the sum of its proper divisors (290348502188976).

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

102304002442320 is a wasteful number, since it uses less digits than its factorization.

102304002442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20298413209 (or 20298413200 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 102304002442320 its reverse (23244200403201), we get a palindrome (125548202845521).

The spelling of 102304002442320 in words is "one hundred two trillion, three hundred four billion, two million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 20298413183 40596826366 60895239549 81193652732 101492065915 121790479098 142088892281 162387305464 182685718647 202984131830 243580958196 284177784562 304476197745 324774610928 365371437294 405968263660 426266676843 487161916392 568355569124 608952395490 710444461405 730742874588 811936527320 852533353686 913428593235 974323832784 1136711138248 1217904790980 1278800030529 1420888922810 1461485749176 1623873054640 1705066707372 1826857186470 2131333384215 2273422276496 2435809581960 2557600061058 2841777845620 2922971498352 3410133414744 3653714372940 4262666768430 4871619163920 5115200122116 5683555691240 6394000152645 6820266829488 7307428745880 8525333536860 10230400244232 11367111382480 12788000305290 14614857491760 17050667073720 20460800488464 25576000610580 34101334147440 51152001221160 102304002442320