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2101313319 = 37331330203
BaseRepresentation
bin111110100111111…
…0111111100100111
312102102222202222020
41331033313330213
513300414011234
6544302234223
7103033603620
oct17517677447
95372882866
102101313319
11989155886
124a7885973
1327645a881
1415d10ca47
15c4726549
hex7d3f7f27

2101313319 has 16 divisors (see below), whose sum is σ = 3203073792. Its totient is φ = 1200348288.

The previous prime is 2101313317. The next prime is 2101313329. The reversal of 2101313319 is 9133131012.

It is not a de Polignac number, because 2101313319 - 21 = 2101313317 is a prime.

It is a super-2 number, since 2×21013133192 = 8831035329213591522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54472 + ... + 84674.

It is an arithmetic number, because the mean of its divisors is an integer number (200192112).

Almost surely, 22101313319 is an apocalyptic number.

2101313319 is a deficient number, since it is larger than the sum of its proper divisors (1101760473).

2101313319 is a wasteful number, since it uses less digits than its factorization.

2101313319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33526.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 2101313319 is about 45840.0841949489. The cubic root of 2101313319 is about 1280.8460631581.

The spelling of 2101313319 in words is "two billion, one hundred one million, three hundred thirteen thousand, three hundred nineteen".

Divisors: 1 3 7 21 3313 9939 23191 30203 69573 90609 211421 634263 100062539 300187617 700437773 2101313319