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10101330013 = 113121773453
BaseRepresentation
bin10010110100001011…
…00001000001011101
3222001222102201202211
421122011201001131
5131141420030023
64350202320421
7505214613505
oct113205410135
928058381684
1010101330013
114313a34825
121b5aab9111
13c4c9a8468
146bb7bca05
153e1c26a0d
hex25a16105d

10101330013 has 8 divisors (see below), whose sum is σ = 10199234808. Its totient is φ = 10003574784.

The previous prime is 10101329999. The next prime is 10101330017. The reversal of 10101330013 is 31003310101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41641209 + 10059688804 = 6453^2 + 100298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101330013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101329975 and 10101330002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101330017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100795 + ... + 174247.

It is an arithmetic number, because the mean of its divisors is an integer number (1274904351).

Almost surely, 210101330013 is an apocalyptic number.

It is an amenable number.

10101330013 is a deficient number, since it is larger than the sum of its proper divisors (97904795).

10101330013 is a wasteful number, since it uses less digits than its factorization.

10101330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74783.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10101330013 its reverse (31003310101), we get a palindrome (41104640114).

The spelling of 10101330013 in words is "ten billion, one hundred one million, three hundred thirty thousand, thirteen".

Divisors: 1 113 1217 73453 137521 8300189 89392301 10101330013