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101113120301 = 7313713817321
BaseRepresentation
bin101111000101011001…
…1111100011000101101
3100122222202011201020112
41132022303330120231
53124034424322201
6114241205025405
710206451225124
oct1361263743055
9318882151215
10101113120301
11399777a1936
121771a6b5265
1396c53052cb
144c72c16abb
15296bd130bb
hex178acfc62d

101113120301 has 16 divisors (see below), whose sum is σ = 103335268848. Its totient is φ = 98914867200.

The previous prime is 101113120253. The next prime is 101113120307. The reversal of 101113120301 is 103021311101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10578328201 + 90534792100 = 102851^2 + 300890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101113120301 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113120307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13807721 + ... + 13815041.

It is an arithmetic number, because the mean of its divisors is an integer number (6458454303).

Almost surely, 2101113120301 is an apocalyptic number.

It is an amenable number.

101113120301 is a deficient number, since it is larger than the sum of its proper divisors (2222148547).

101113120301 is a wasteful number, since it uses less digits than its factorization.

101113120301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101113120301 its reverse (103021311101), we get a palindrome (204134431402).

The spelling of 101113120301 in words is "one hundred one billion, one hundred thirteen million, one hundred twenty thousand, three hundred one".

Divisors: 1 73 137 1381 7321 10001 100813 189197 534433 1002977 10110301 13811381 73217321 738051973 1385111237 101113120301