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2120303100 = 223521929101127
BaseRepresentation
bin111111001100001…
…0100000111111100
312110202201120001110
41332120110013330
513320244144400
6550221242020
7103354164456
oct17630240774
95422646043
102120303100
11998946113
124b2103310
1327a379226
141618532d6
15c6227e50
hex7e6141fc

2120303100 has 288 divisors, whose sum is σ = 6799564800. Its totient is φ = 508032000.

The previous prime is 2120303099. The next prime is 2120303113. The reversal of 2120303100 is 13030212.

It is a happy number.

It is a super-2 number, since 2×21203031002 = 8991370471739220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16695237 + ... + 16695363.

It is an arithmetic number, because the mean of its divisors is an integer number (23609600).

Almost surely, 22120303100 is an apocalyptic number.

2120303100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399782400).

2120303100 is an abundant number, since it is smaller than the sum of its proper divisors (4679261700).

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

2120303100 is a wasteful number, since it uses less digits than its factorization.

2120303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2120303100 is about 46046.7490709170. The cubic root of 2120303100 is about 1284.6928767849.

Adding to 2120303100 its reverse (13030212), we get a palindrome (2133333312).

The spelling of 2120303100 in words is "two billion, one hundred twenty million, three hundred three thousand, one hundred".