Search a number
-
+
106461087111 = 3247251681057
BaseRepresentation
bin110001100100110010…
…0110100010110000111
3101011210110022120112100
41203021210310112013
53221013014241421
6120524010323143
710456130211111
oct1431144642607
9334713276470
10106461087111
1141171565515
12187717294b3
13a068287802
14521d1b63b1
152b815a0c26
hex18c9934587

106461087111 has 12 divisors (see below), whose sum is σ = 157048980192. Its totient is φ = 69463971456.

The previous prime is 106461087077. The next prime is 106461087119. The reversal of 106461087111 is 111780164601.

106461087111 is a `hidden beast` number, since 1 + 0 + 6 + 461 + 0 + 87 + 111 = 666.

It is not a de Polignac number, because 106461087111 - 217 = 106460956039 is a prime.

It is a super-2 number, since 2×1064610871112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106461087119) 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 11 ways as a sum of consecutive naturals, for example, 125840106 + ... + 125840951.

It is an arithmetic number, because the mean of its divisors is an integer number (13087415016).

Almost surely, 2106461087111 is an apocalyptic number.

106461087111 is a deficient number, since it is larger than the sum of its proper divisors (50587893081).

106461087111 is a wasteful number, since it uses less digits than its factorization.

106461087111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251681110 (or 251681107 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 106461087111 in words is "one hundred six billion, four hundred sixty-one million, eighty-seven thousand, one hundred eleven".

Divisors: 1 3 9 47 141 423 251681057 755043171 2265129513 11829009679 35487029037 106461087111