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2100402304 = 2771113397
BaseRepresentation
bin111110100110001…
…1001100010000000
312102101021111021221
41331030121202000
513300200333204
6544230524424
7103023060610
oct17514314200
95371244257
102100402304
11988693380
124a7506714
132761cc000
1415cd52a40
15c45e6654
hex7d319880

2100402304 has 256 divisors, whose sum is σ = 5709715200. Its totient is φ = 747601920.

The previous prime is 2100402281. The next prime is 2100402307. The reversal of 2100402304 is 4032040012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2100402307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21653584 + ... + 21653680.

It is an arithmetic number, because the mean of its divisors is an integer number (22303575).

Almost surely, 22100402304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854857600).

2100402304 is an abundant number, since it is smaller than the sum of its proper divisors (3609312896).

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

2100402304 is an equidigital number, since it uses as much as digits as its factorization.

2100402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2100402304 is about 45830.1462358566. The cubic root of 2100402304 is about 1280.6609347058.

Adding to 2100402304 its reverse (4032040012), we get a palindrome (6132442316).

It can be divided in two parts, 2100 and 402304, that added together give a palindrome (404404).

The spelling of 2100402304 in words is "two billion, one hundred million, four hundred two thousand, three hundred four".