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23242300100 = 2252588139521
BaseRepresentation
bin10101101001010110…
…010101101011000100
32012222210111011211122
4111221112111223010
5340100012100400
614402151053112
71451652201605
oct255126255304
965883434748
1023242300100
119947744088
124607971198
132265336bc6
1411a6b61dac
15910722685
hex569595ac4

23242300100 has 36 divisors (see below), whose sum is σ = 50445643668. Its totient is φ = 9295104000.

The previous prime is 23242300087. The next prime is 23242300117. The reversal of 23242300100 is 100324232.

It can be written as a sum of positive squares in 6 ways, for example, as 2300737156 + 20941562944 = 47966^2 + 144712^2 .

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 11 ways as a sum of consecutive naturals, for example, 568340 + ... + 607860.

Almost surely, 223242300100 is an apocalyptic number.

23242300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23242300100 is an abundant number, since it is smaller than the sum of its proper divisors (27203343568).

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

23242300100 is a wasteful number, since it uses less digits than its factorization.

23242300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45416 (or 45409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23242300100 its reverse (100324232), we get a palindrome (23342624332).

The spelling of 23242300100 in words is "twenty-three billion, two hundred forty-two million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5881 11762 23524 29405 39521 58810 79042 117620 147025 158084 197605 294050 395210 588100 790420 988025 1976050 3952100 232423001 464846002 929692004 1162115005 2324230010 4648460020 5810575025 11621150050 23242300100