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2101313313 = 331153133493
BaseRepresentation
bin111110100111111…
…0111111100100001
312102102222202222000
41331033313330201
513300414011223
6544302234213
7103033603611
oct17517677441
95372882860
102101313313
11989155880
124a7885969
1327645a878
1415d10ca41
15c4726543
hex7d3f7f21

2101313313 has 32 divisors (see below), whose sum is σ = 3460164480. Its totient is φ = 1249485120.

The previous prime is 2101313311. The next prime is 2101313317. The reversal of 2101313313 is 3133131012.

It is a happy number.

It is not a de Polignac number, because 2101313313 - 21 = 2101313311 is a prime.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51006 + ... + 82487.

It is an arithmetic number, because the mean of its divisors is an integer number (108130140).

Almost surely, 22101313313 is an apocalyptic number.

It is an amenable number.

2101313313 is a deficient number, since it is larger than the sum of its proper divisors (1358851167).

2101313313 is a wasteful number, since it uses less digits than its factorization.

2101313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133566 (or 133560 counting only the distinct ones).

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

The square root of 2101313313 is about 45840.0841295040. The cubic root of 2101313313 is about 1280.8460619390.

Adding to 2101313313 its reverse (3133131012), we get a palindrome (5234444325).

It can be divided in two parts, 210131 and 3313, that added together give a square (213444 = 4622).

The spelling of 2101313313 in words is "two billion, one hundred one million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 53 99 159 297 477 583 1431 1749 5247 15741 133493 400479 1201437 1468423 3604311 4405269 7075129 13215807 21225387 39647421 63676161 77826419 191028483 233479257 700437771 2101313313