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2120100200 = 235210600501
BaseRepresentation
bin111111001011110…
…0010100101101000
312110202100020201122
41332113202211220
513320221201300
6550213034412
7103352361101
oct17627424550
95422306648
102120100200
11998817729
124b2025a08
1327a307a7a
141617dd3a8
15c61d7c85
hex7e5e2968

2120100200 has 24 divisors (see below), whose sum is σ = 4929233430. Its totient is φ = 848040000.

The previous prime is 2120100197. The next prime is 2120100263. The reversal of 2120100200 is 20010212.

2120100200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2063158084 + 56942116 = 45422^2 + 7546^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5300051 + ... + 5300450.

Almost surely, 22120100200 is an apocalyptic number.

2120100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120100200 is an abundant number, since it is smaller than the sum of its proper divisors (2809133230).

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

2120100200 is a wasteful number, since it uses less digits than its factorization.

2120100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10600517 (or 10600508 counting only the distinct ones).

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

The square root of 2120100200 is about 46044.5458224967. The cubic root of 2120100200 is about 1284.6518964018.

Adding to 2120100200 its reverse (20010212), we get a palindrome (2140110412).

The spelling of 2120100200 in words is "two billion, one hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10600501 21201002 42402004 53002505 84804008 106005010 212010020 265012525 424020040 530025050 1060050100 2120100200