Search a number
-
+
106049307707 = 7171794978607
BaseRepresentation
bin110001011000100001…
…0000000010000111011
3101010201202111000101022
41202301002000100323
53214142110321312
6120415100413055
710443000146060
oct1426102002073
9333652430338
10106049307707
1140a80084562
121867784718b
13a000b80765
1451c0626c67
152b5a362172
hex18b108043b

106049307707 has 16 divisors (see below), whose sum is σ = 129045519360. Its totient is φ = 85074419328.

The previous prime is 106049307677. The next prime is 106049307719. The reversal of 106049307707 is 707703940601.

It is a cyclic number.

It is not a de Polignac number, because 106049307707 - 26 = 106049307643 is a prime.

It is a super-2 number, since 2×1060493077072 (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 (106049306707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2468003 + ... + 2510604.

It is an arithmetic number, because the mean of its divisors is an integer number (8065344960).

Almost surely, 2106049307707 is an apocalyptic number.

106049307707 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106049307707 is a deficient number, since it is larger than the sum of its proper divisors (22996211653).

106049307707 is a wasteful number, since it uses less digits than its factorization.

106049307707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978810.

The product of its (nonzero) digits is 222264, while the sum is 44.

The spelling of 106049307707 in words is "one hundred six billion, forty-nine million, three hundred seven thousand, seven hundred seven".

Divisors: 1 7 17 119 179 1253 3043 21301 4978607 34850249 84636319 592454233 891170653 6238194571 15149901101 106049307707