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212112000200 = 23524492362049
BaseRepresentation
bin1100010110001011011…
…1000100010011001000
3202021111110011001020102
43011202313010103020
511433401133001300
6241235400144532
721216222152642
oct3054267042310
9667443131212
10212112000200
1181a57770221
1235137a68148
13170047395b9
14a3a2935892
1557b696a0d5
hex3162dc44c8

212112000200 has 48 divisors (see below), whose sum is σ = 494258962500. Its totient is φ = 84655800320.

The previous prime is 212112000181. The next prime is 212112000203. The reversal of 212112000200 is 2000211212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 107385979204 + 104726020996 = 327698^2 + 323614^2 .

It is not an unprimeable number, because it can be changed into a prime (212112000203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1091225 + ... + 1270824.

Almost surely, 2212112000200 is an apocalyptic number.

212112000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112000200 is an abundant number, since it is smaller than the sum of its proper divisors (282146962300).

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

212112000200 is a wasteful number, since it uses less digits than its factorization.

212112000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362514 (or 2362505 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212112000200 its reverse (2000211212), we get a palindrome (214112211412).

The spelling of 212112000200 in words is "two hundred twelve billion, one hundred twelve million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 449 898 1796 2245 3592 4490 8980 11225 17960 22450 44900 89800 2362049 4724098 9448196 11810245 18896392 23620490 47240980 59051225 94481960 118102450 236204900 472409800 1060560001 2121120002 4242240004 5302800005 8484480008 10605600010 21211200020 26514000025 42422400040 53028000050 106056000100 212112000200