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102141012200 = 23524112456221
BaseRepresentation
bin101111100100000010…
…1000010100011101000
3100202122101100000211212
41133020011002203220
53133141044342300
6114531204212252
710244102164403
oct1371005024350
9322571300755
10102141012200
113a354a36277
121796699a088
13982a259a76
144d2d544d3a
1529cc1a3935
hex17c81428e8

102141012200 has 48 divisors (see below), whose sum is σ = 243270015660. Its totient is φ = 39859904000.

The previous prime is 102141012089. The next prime is 102141012227. The reversal of 102141012200 is 2210141201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 353214436 + 101787797764 = 18794^2 + 319042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6219911 + ... + 6236310.

Almost surely, 2102141012200 is an apocalyptic number.

102141012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102141012200 is an abundant number, since it is smaller than the sum of its proper divisors (141129003460).

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

102141012200 is a wasteful number, since it uses less digits than its factorization.

102141012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456278 (or 12456269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102141012200 its reverse (2210141201), we get a palindrome (104351153401).

The spelling of 102141012200 in words is "one hundred two billion, one hundred forty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 12456221 24912442 49824884 62281105 99649768 124562210 249124420 311405525 498248840 510705061 622811050 1021410122 1245622100 2042820244 2491244200 2553525305 4085640488 5107050610 10214101220 12767626525 20428202440 25535253050 51070506100 102141012200