Search a number
-
+
107661313 = 1372772837
BaseRepresentation
bin1100110101011…
…00100000000001
321111120202120001
412122230200001
5210030130223
614403320001
72445051244
oct632544001
9244522501
10107661313
11558545a1
1230080001
13193c6a26
141042725b
1596b99ad
hex66ac801

107661313 has 8 divisors (see below), whose sum is σ = 108877032. Its totient is φ = 106452096.

The previous prime is 107661299. The next prime is 107661317. The reversal of 107661313 is 313166701.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 107474689 = 432^2 + 10367^2 .

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-107661313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107661317) 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, 36531 + ... + 39367.

It is an arithmetic number, because the mean of its divisors is an integer number (13609629).

Almost surely, 2107661313 is an apocalyptic number.

It is an amenable number.

107661313 is a deficient number, since it is larger than the sum of its proper divisors (1215719).

107661313 is a wasteful number, since it uses less digits than its factorization.

107661313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 107661313 is about 10375.9969641476. The cubic root of 107661313 is about 475.7219868086.

The spelling of 107661313 in words is "one hundred seven million, six hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 137 277 2837 37949 388669 785849 107661313