Search a number
-
+
106712646211 = 1718144237841
BaseRepresentation
bin110001101100010010…
…0011100001001000011
3101012102222200002202001
41203120210130021003
53222021414134321
6121004554204431
710465303345423
oct1433044341103
9335388602661
10106712646211
11412905635a6
1218821a23717
13a0a8424a52
14524477a483
152b986e1c91
hex18d891c243

106712646211 has 16 divisors (see below), whose sum is σ = 113654294208. Its totient is φ = 99845222400.

The previous prime is 106712646169. The next prime is 106712646241. The reversal of 106712646211 is 112646217601.

It is a cyclic number.

It is not a de Polignac number, because 106712646211 - 227 = 106578428483 is a prime.

It is a super-2 number, since 2×1067126462112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106712646241) 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, 13605651 + ... + 13613491.

It is an arithmetic number, because the mean of its divisors is an integer number (7103393388).

Almost surely, 2106712646211 is an apocalyptic number.

106712646211 is a deficient number, since it is larger than the sum of its proper divisors (6941647997).

106712646211 is a wasteful number, since it uses less digits than its factorization.

106712646211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 106712646211 in words is "one hundred six billion, seven hundred twelve million, six hundred forty-six thousand, two hundred eleven".

Divisors: 1 17 181 3077 4423 7841 75191 133297 800563 1419221 13609571 24126757 34680743 589572631 6277214483 106712646211