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100313310213 = 3211145923357
BaseRepresentation
bin101110101101100100…
…0111010010000000101
3100120221000012011001200
41131123020322100011
53120420201411323
6114025554213113
710150600032234
oct1353310722005
9316830164050
10100313310213
11395a7280766
1217536884199
1395c86ba9bc
144bd88dab1b
1529219c7443
hex175b23a405

100313310213 has 6 divisors (see below), whose sum is σ = 144897003654. Its totient is φ = 66875540136.

The previous prime is 100313310193. The next prime is 100313310221. The reversal of 100313310213 is 312013313001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98934153444 + 1379156769 = 314538^2 + 37137^2 .

It is not a de Polignac number, because 100313310213 - 221 = 100311213061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313317213) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5572961670 + ... + 5572961687.

It is an arithmetic number, because the mean of its divisors is an integer number (24149500609).

Almost surely, 2100313310213 is an apocalyptic number.

It is an amenable number.

100313310213 is a deficient number, since it is larger than the sum of its proper divisors (44583693441).

100313310213 is a wasteful number, since it uses less digits than its factorization.

100313310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145923363 (or 11145923360 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100313310213 its reverse (312013313001), we get a palindrome (412326623214).

The spelling of 100313310213 in words is "one hundred billion, three hundred thirteen million, three hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 11145923357 33437770071 100313310213