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2121120200 = 2352103102967
BaseRepresentation
bin111111001101101…
…1011100111001000
312110211021001220102
41332123123213020
513321001321300
6550250544532
7103364136623
oct17633334710
95424231812
102121120200
11999354001
124b2438148
1327a5a4114
141619c6dba
15c633a0d5
hex7e6db9c8

2121120200 has 48 divisors (see below), whose sum is σ = 4979532480. Its totient is φ = 840202560.

The previous prime is 2121120187. The next prime is 2121120203. The reversal of 2121120200 is 20211212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2121120203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30884 + ... + 72083.

It is an arithmetic number, because the mean of its divisors is an integer number (103740260).

Almost surely, 22121120200 is an apocalyptic number.

2121120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121120200 is an abundant number, since it is smaller than the sum of its proper divisors (2858412280).

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

2121120200 is a wasteful number, since it uses less digits than its factorization.

2121120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103086 (or 103077 counting only the distinct ones).

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

The square root of 2121120200 is about 46055.6207210369. The cubic root of 2121120200 is about 1284.8578827118.

Adding to 2121120200 its reverse (20211212), we get a palindrome (2141331412).

The spelling of 2121120200 in words is "two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 4120 5150 10300 20600 102967 205934 411868 514835 823736 1029670 2059340 2574175 4118680 5148350 10296700 10605601 20593400 21211202 42422404 53028005 84844808 106056010 212112020 265140025 424224040 530280050 1060560100 2121120200