Search a number
-
+
106633633215 = 35192912901831
BaseRepresentation
bin110001101001111011…
…1000001110110111111
3101012020110222211021210
41203103313001312333
53221341202230330
6120553052455503
710463323633014
oct1432367016677
9335213884253
10106633633215
114124a9a69aa
12187bb47a593
13a094c4b9b5
14523808d70b
152b917d58b0
hex18d3dc1dbf

106633633215 has 32 divisors (see below), whose sum is σ = 185786380800. Its totient is φ = 52020178560.

The previous prime is 106633633187. The next prime is 106633633231. The reversal of 106633633215 is 512336336601.

It is not a de Polignac number, because 106633633215 - 218 = 106633371071 is a prime.

It is a super-2 number, since 2×1066336332152 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6442651 + ... + 6459180.

It is an arithmetic number, because the mean of its divisors is an integer number (5805824400).

Almost surely, 2106633633215 is an apocalyptic number.

106633633215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106633633215 is a deficient number, since it is larger than the sum of its proper divisors (79152747585).

106633633215 is a wasteful number, since it uses less digits than its factorization.

106633633215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12901887.

The product of its (nonzero) digits is 174960, while the sum is 39.

Adding to 106633633215 its reverse (512336336601), we get a palindrome (618969969816).

The spelling of 106633633215 in words is "one hundred six billion, six hundred thirty-three million, six hundred thirty-three thousand, two hundred fifteen".

Divisors: 1 3 5 15 19 29 57 87 95 145 285 435 551 1653 2755 8265 12901831 38705493 64509155 193527465 245134789 374153099 735404367 1122459297 1225673945 1870765495 3677021835 5612296485 7108908881 21326726643 35544544405 106633633215