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100330312313 = 7112729477461
BaseRepresentation
bin101110101110000100…
…1110001001001111001
3100120222012011221120002
41131130021301021321
53120434024443223
6114031402442345
710151164404110
oct1353411611171
9316865157502
10100330312313
1139605933690
12175405033b5
1395cc09170a
144bdac84c77
152923234e28
hex175c271279

100330312313 has 16 divisors (see below), whose sum is σ = 125133240960. Its totient is φ = 78150652800.

The previous prime is 100330312279. The next prime is 100330312319. The reversal of 100330312313 is 313213033001.

It is not a de Polignac number, because 100330312313 - 212 = 100330308217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100330312319) 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, 28598 + ... + 448863.

It is an arithmetic number, because the mean of its divisors is an integer number (7820827560).

Almost surely, 2100330312313 is an apocalyptic number.

It is an amenable number.

100330312313 is a deficient number, since it is larger than the sum of its proper divisors (24802928647).

100330312313 is a wasteful number, since it uses less digits than its factorization.

100330312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480208.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100330312313 its reverse (313213033001), we get a palindrome (413543345314).

The spelling of 100330312313 in words is "one hundred billion, three hundred thirty million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 11 77 2729 19103 30019 210133 477461 3342227 5252071 36764497 1302991069 9120937483 14332901759 100330312313