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100240204320 = 2533523203751
BaseRepresentation
bin101110101011011001…
…0000010001000100000
3100120201220121222122000
41131112302002020200
53120242443014240
6114014423244000
710146021451434
oct1352662021040
9316656558560
10100240204320
1139569a89173
12175162a9600
1395b6502589
144bccd0a9c4
15291a386430
hex1756c82220

100240204320 has 96 divisors (see below), whose sum is σ = 350840730240. Its totient is φ = 26730720000.

The previous prime is 100240204297. The next prime is 100240204333. The reversal of 100240204320 is 23402042001.

100240204320 is a `hidden beast` number, since 100 + 2 + 40 + 204 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 100240204293 and 100240204302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11597556 + ... + 11606195.

It is an arithmetic number, because the mean of its divisors is an integer number (3654590940).

Almost surely, 2100240204320 is an apocalyptic number.

100240204320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100240204320 is an abundant number, since it is smaller than the sum of its proper divisors (250600525920).

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

100240204320 is a wasteful number, since it uses less digits than its factorization.

100240204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23203775 (or 23203761 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 100240204320 its reverse (23402042001), we get a palindrome (123642246321).

The spelling of 100240204320 in words is "one hundred billion, two hundred forty million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 23203751 46407502 69611253 92815004 116018755 139222506 185630008 208833759 232037510 278445012 348056265 371260016 417667518 464075020 556890024 626501277 696112530 742520032 835335036 928150040 1044168795 1113780048 1253002554 1392225060 1670670072 1856300080 2088337590 2227560096 2506005108 2784450120 3132506385 3341340144 3712600160 4176675180 5012010216 5568900240 6265012770 6682680288 8353350360 10024020432 11137800480 12530025540 16706700720 20048040864 25060051080 33413401440 50120102160 100240204320