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107630026200 = 23325259794459
BaseRepresentation
bin110010000111100111…
…1111101110111011000
3101021210220212211111200
41210033033331313120
53230411241314300
6121240004554200
710530113061564
oct1441717756730
9337726784450
10107630026200
1141711386784
1218a390b2960
13a1c34c5148
1452d053c6a4
152bee003200
hex190f3fddd8

107630026200 has 72 divisors (see below), whose sum is σ = 361457510700. Its totient is φ = 28701339840.

The previous prime is 107630026169. The next prime is 107630026241. The reversal of 107630026200 is 2620036701.

It is a happy number.

107630026200 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 30 + 0 + 2 + 620 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 29895430 + ... + 29899029.

Almost surely, 2107630026200 is an apocalyptic number.

107630026200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107630026200 is an abundant number, since it is smaller than the sum of its proper divisors (253827484500).

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

107630026200 is a wasteful number, since it uses less digits than its factorization.

107630026200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59794481 (or 59794469 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

It can be divided in two parts, 1076300 and 26200, that added together give a square (1102500 = 10502).

The spelling of 107630026200 in words is "one hundred seven billion, six hundred thirty million, twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 59794459 119588918 179383377 239177836 298972295 358766754 478355672 538150131 597944590 717533508 896916885 1076300262 1195889180 1435067016 1494861475 1793833770 2152600524 2391778360 2690750655 2989722950 3587667540 4305201048 4484584425 5381501310 5979445900 7175335080 8969168850 10763002620 11958891800 13453753275 17938337700 21526005240 26907506550 35876675400 53815013100 107630026200