Search a number
-
+
10101110107 = 117603120779
BaseRepresentation
bin10010110100001001…
…01011010101011011
3222001222000120010011
421122010223111123
5131141341010412
64350153502351
7505213006414
oct113204532533
928058016104
1010101110107
1143138a4590
121b5aa119b7
13c4c92c33a
146bb76280b
153e1bd17a7
hex25a12b55b

10101110107 has 8 divisors (see below), whose sum is σ = 11020933440. Its totient is φ = 9181543560.

The previous prime is 10101110093. The next prime is 10101110161. The reversal of 10101110107 is 70101110101.

10101110107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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-10101110107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101110197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23244 + ... + 144022.

It is an arithmetic number, because the mean of its divisors is an integer number (1377616680).

Almost surely, 210101110107 is an apocalyptic number.

10101110107 is a deficient number, since it is larger than the sum of its proper divisors (919823333).

10101110107 is a wasteful number, since it uses less digits than its factorization.

10101110107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128393.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 10101110107 its reverse (70101110101), we get a palindrome (80202220208).

The spelling of 10101110107 in words is "ten billion, one hundred one million, one hundred ten thousand, one hundred seven".

Divisors: 1 11 7603 83633 120779 1328569 918282737 10101110107