Search a number
-
+
5302422100 = 2252531000457
BaseRepresentation
bin1001111000000110…
…01000101001010100
3111200112102221200201
410330003020221110
541324410001400
62234053150244
7245253562363
oct47403105124
914615387621
105302422100
112281096228
12103b92b384
136666c6c91
143843057da
1521079306a
hex13c0c8a54

5302422100 has 36 divisors (see below), whose sum is σ = 11723366844. Its totient is φ = 2080948480.

The previous prime is 5302422091. The next prime is 5302422113. The reversal of 5302422100 is 12242035.

It can be written as a sum of positive squares in 6 ways, for example, as 10150596 + 5292271504 = 3186^2 + 72748^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 494929 + ... + 505528.

It is an arithmetic number, because the mean of its divisors is an integer number (325649079).

Almost surely, 25302422100 is an apocalyptic number.

5302422100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5302422100 is an abundant number, since it is smaller than the sum of its proper divisors (6420944744).

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

5302422100 is a wasteful number, since it uses less digits than its factorization.

5302422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000524 (or 1000517 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5302422100 is about 72817.7320437818. The cubic root of 5302422100 is about 1743.7789560245.

Adding to 5302422100 its reverse (12242035), we get a palindrome (5314664135).

The spelling of 5302422100 in words is "five billion, three hundred two million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 1000457 2000914 4001828 5002285 10004570 20009140 25011425 50022850 53024221 100045700 106048442 212096884 265121105 530242210 1060484420 1325605525 2651211050 5302422100