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2112000200 = 235241257561
BaseRepresentation
bin111110111100010…
…1001000011001000
312110012002201121122
41331320221003020
513311133001300
6545323254412
7103223463662
oct17570510310
95405081548
102112000200
11994195012
124ab37a408
1327872cc7b
141606d1532
15c5637c85
hex7de290c8

2112000200 has 48 divisors (see below), whose sum is σ = 5030185860. Its totient is φ = 824192000.

The previous prime is 2112000199. The next prime is 2112000203. The reversal of 2112000200 is 20002112.

It can be written as a sum of positive squares in 6 ways, for example, as 131928196 + 1980072004 = 11486^2 + 44498^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2112000203) 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, 120581 + ... + 136980.

Almost surely, 22112000200 is an apocalyptic number.

2112000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112000200 is an abundant number, since it is smaller than the sum of its proper divisors (2918185660).

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

2112000200 is a wasteful number, since it uses less digits than its factorization.

2112000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257618 (or 257609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2112000200 is about 45956.5033482749. The cubic root of 2112000200 is about 1283.0137724975.

Adding to 2112000200 its reverse (20002112), we get a palindrome (2132002312).

The spelling of 2112000200 in words is "two billion, one hundred twelve million, two hundred", and thus it is an aban number.

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 257561 515122 1030244 1287805 2060488 2575610 5151220 6439025 10302440 10560001 12878050 21120002 25756100 42240004 51512200 52800005 84480008 105600010 211200020 264000025 422400040 528000050 1056000100 2112000200