Search a number
-
+
106632166333 = 71121009124771
BaseRepresentation
bin110001101001111000…
…1011011101110111101
3101012020101020022002211
41203103301123232331
53221340313310313
6120553001220421
710463305313260
oct1432361335675
9335211208084
10106632166333
114124a094900
12187baa91711
13a094857114
145237bcacd7
152b915e5e3d
hex18d3c5bbbd

106632166333 has 24 divisors (see below), whose sum is σ = 134084982080. Its totient is φ = 83006985600.

The previous prime is 106632166297. The next prime is 106632166349. The reversal of 106632166333 is 333661236601.

It is not a de Polignac number, because 106632166333 - 213 = 106632158141 is a prime.

It is a super-2 number, since 2×1066321663332 (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 (106632166363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792238 + ... + 917008.

Almost surely, 2106632166333 is an apocalyptic number.

It is an amenable number.

106632166333 is a deficient number, since it is larger than the sum of its proper divisors (27452815747).

106632166333 is a wasteful number, since it uses less digits than its factorization.

106632166333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125809 (or 125798 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 40.

The spelling of 106632166333 in words is "one hundred six billion, six hundred thirty-two million, one hundred sixty-six thousand, three hundred thirty-three".

Divisors: 1 7 11 77 121 847 1009 7063 11099 77693 122089 124771 854623 873397 1372481 9607367 15097291 105681037 125893939 881257573 1384833329 9693833303 15233166619 106632166333