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100023321313 = 155416436093
BaseRepresentation
bin101110100100111011…
…0101100001011100001
3100120011210112012002001
41131021312230023201
53114321432240223
6113541114524001
710140446126446
oct1351166541341
9316153465061
10100023321313
1139468614813
1217475736601
1395805b6836
144bac1b19cd
1529062e49ad
hex1749dac2e1

100023321313 has 4 divisors (see below), whose sum is σ = 100029772948. Its totient is φ = 100016869680.

The previous prime is 100023321301. The next prime is 100023321373. The reversal of 100023321313 is 313123320001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313123320001 = 515996068399.

It can be written as a sum of positive squares in 2 ways, for example, as 45888923089 + 54134398224 = 214217^2 + 232668^2 .

It is a cyclic number.

It is not a de Polignac number, because 100023321313 - 213 = 100023313121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100023321373) 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 3 ways as a sum of consecutive naturals, for example, 3202506 + ... + 3233587.

It is an arithmetic number, because the mean of its divisors is an integer number (25007443237).

Almost surely, 2100023321313 is an apocalyptic number.

It is an amenable number.

100023321313 is a deficient number, since it is larger than the sum of its proper divisors (6451635).

100023321313 is an equidigital number, since it uses as much as digits as its factorization.

100023321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451634.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100023321313 its reverse (313123320001), we get a palindrome (413146641314).

The spelling of 100023321313 in words is "one hundred billion, twenty-three million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 15541 6436093 100023321313