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100212231200 = 2552223755997
BaseRepresentation
bin101110101010100011…
…1010100110000100000
3100120122221222210201112
41131111013110300200
53120213312344300
6114011543522452
710145231624234
oct1352507246040
9316587883645
10100212231200
1139555212594
1217508a59428
1395b078a033
144bc93085c4
152917bace35
hex17551d4c20

100212231200 has 72 divisors (see below), whose sum is σ = 244756842372. Its totient is φ = 40066257920.

The previous prime is 100212231169. The next prime is 100212231211. The reversal of 100212231200 is 2132212001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46882642576 + 53329588624 = 216524^2 + 230932^2 .

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, 1761602 + ... + 1817598.

Almost surely, 2100212231200 is an apocalyptic number.

100212231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212231200 is an abundant number, since it is smaller than the sum of its proper divisors (144544611172).

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

100212231200 is a wasteful number, since it uses less digits than its factorization.

100212231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58254 (or 58241 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100212231200 its reverse (2132212001), we get a palindrome (102344443201).

The spelling of 100212231200 in words is "one hundred billion, two hundred twelve million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2237 4474 8948 11185 17896 22370 35792 44740 55925 55997 71584 89480 111850 111994 178960 223700 223988 279985 357920 447400 447976 559970 894800 895952 1119940 1399925 1789600 1791904 2239880 2799850 4479760 5599700 8959520 11199400 22398800 44797600 125265289 250530578 501061156 626326445 1002122312 1252652890 2004244624 2505305780 3131632225 4008489248 5010611560 6263264450 10021223120 12526528900 20042446240 25053057800 50106115600 100212231200