Search a number
-
+
106185391322 = 2293535186353
BaseRepresentation
bin110001011100100100…
…1000111110011011010
3101011002020112210000012
41202321021013303122
53214431430010242
6120440401241522
710446241635233
oct1427111076332
9334066483005
10106185391322
114103a98115a
12186b53332a2
13a0231192ca
1451d472c08a
152b67293282
hex18b9247cda

106185391322 has 16 divisors (see below), whose sum is σ = 165237238440. Its totient is φ = 51116685312.

The previous prime is 106185391309. The next prime is 106185391327. The reversal of 106185391322 is 223193581601.

It is a Cunningham number, because it is equal to 3258612+1.

It can be written as a sum of positive squares in 4 ways, for example, as 55681368961 + 50504022361 = 235969^2 + 224731^2 .

It is a super-2 number, since 2×1061853913222 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106185391322.

It is not an unprimeable number, because it can be changed into a prime (106185391327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2572703 + ... + 2613650.

Almost surely, 2106185391322 is an apocalyptic number.

106185391322 is a deficient number, since it is larger than the sum of its proper divisors (59051847118).

106185391322 is a wasteful number, since it uses less digits than its factorization.

106185391322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186737.

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 106185391322 in words is "one hundred six billion, one hundred eighty-five million, three hundred ninety-one thousand, three hundred twenty-two".

Divisors: 1 2 29 58 353 706 10237 20474 5186353 10372706 150404237 300808474 1830782609 3661565218 53092695661 106185391322