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102333020320 = 2555571148261
BaseRepresentation
bin101111101001110000…
…1011111100010100000
3100210010202122001110201
41133103201133202200
53134034223122240
6115002223434544
710251623215006
oct1372341374240
9323122561421
10102333020320
113a44335a873
12179bb155a54
13985ac7653b
144d4ac46a76
1529dde7ed9a
hex17d385f8a0

102333020320 has 48 divisors (see below), whose sum is σ = 242196014088. Its totient is φ = 40859683840.

The previous prime is 102333020311. The next prime is 102333020333. The reversal of 102333020320 is 23020333201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37668599056 + 64664421264 = 194084^2 + 254292^2 .

It is a super-3 number, since 3×1023330203203 (a number of 34 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 485011 + ... + 663250.

Almost surely, 2102333020320 is an apocalyptic number.

102333020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102333020320 is an abundant number, since it is smaller than the sum of its proper divisors (139862993768).

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

102333020320 is a wasteful number, since it uses less digits than its factorization.

102333020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148833 (or 1148825 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 102333020320 its reverse (23020333201), we get a palindrome (125353353521).

The spelling of 102333020320 in words is "one hundred two billion, three hundred thirty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 557 1114 2228 2785 4456 5570 8912 11140 17824 22280 44560 89120 1148261 2296522 4593044 5741305 9186088 11482610 18372176 22965220 36744352 45930440 91860880 183721760 639581377 1279162754 2558325508 3197906885 5116651016 6395813770 10233302032 12791627540 20466604064 25583255080 51166510160 102333020320