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100233440313 = 3198321186523
BaseRepresentation
bin101110101011001100…
…0001110110000111001
3100120201102220100011020
41131112120032300321
53120234230042223
6114014022253053
710145610120336
oct1352630166071
9316642810136
10100233440313
1139566189286
1217513b87189
1395b4ca48c6
144bcc06998d
15291999c1e3
hex175660ec39

100233440313 has 16 divisors (see below), whose sum is σ = 142373441280. Its totient is φ = 62542612944.

The previous prime is 100233440269. The next prime is 100233440317. The reversal of 100233440313 is 313044332001.

It is not a de Polignac number, because 100233440313 - 210 = 100233439289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100233440317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10588531 + ... + 10597992.

It is an arithmetic number, because the mean of its divisors is an integer number (8898340080).

Almost surely, 2100233440313 is an apocalyptic number.

It is an amenable number.

100233440313 is a deficient number, since it is larger than the sum of its proper divisors (42140000967).

100233440313 is a wasteful number, since it uses less digits than its factorization.

100233440313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21186628.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 100233440313 its reverse (313044332001), we get a palindrome (413277772314).

The spelling of 100233440313 in words is "one hundred billion, two hundred thirty-three million, four hundred forty thousand, three hundred thirteen".

Divisors: 1 3 19 57 83 249 1577 4731 21186523 63559569 402543937 1207631811 1758481409 5275444227 33411146771 100233440313