Search a number
-
+
106661716111 = 4183179175103
BaseRepresentation
bin110001101010110001…
…0001010000010001111
3101012022102211120210001
41203111202022002033
53221420344403421
6120555534425131
710464114425236
oct1432542120217
9335272746701
10106661716111
1141264838005
12188089621a7
13a09aa021b2
14523babdb1d
152b93ed1691
hex18d588a08f

106661716111 has 16 divisors (see below), whose sum is σ = 111198044160. Its totient is φ = 102231551680.

The previous prime is 106661716099. The next prime is 106661716121. The reversal of 106661716111 is 111617166601.

It is not a de Polignac number, because 106661716111 - 29 = 106661715599 is a prime.

It is a super-2 number, since 2×1066617161112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106661716121) 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, 521586 + ... + 696688.

It is an arithmetic number, because the mean of its divisors is an integer number (6949877760).

Almost surely, 2106661716111 is an apocalyptic number.

106661716111 is a deficient number, since it is larger than the sum of its proper divisors (4536328049).

106661716111 is a wasteful number, since it uses less digits than its factorization.

106661716111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175406.

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 106661716111 in words is "one hundred six billion, six hundred sixty-one million, seven hundred sixteen thousand, one hundred eleven".

Divisors: 1 41 83 179 3403 7339 14857 175103 609137 7179223 14533549 31343437 595875509 1285080917 2601505271 106661716111