Search a number
-
+
12114917991 = 3211122372909
BaseRepresentation
bin10110100100001101…
…01111101001100111
31011021022100121012100
423102012233221213
5144302404333431
65322052423143
7606135050421
oct132206575147
934238317170
1012114917991
115157612220
122421317ab3
1311b0bcc537
1482cdb3811
154ad8c04e6
hex2d21afa67

12114917991 has 12 divisors (see below), whose sum is σ = 19090173960. Its totient is φ = 7342374480.

The previous prime is 12114917981. The next prime is 12114918037. The reversal of 12114917991 is 19971941121.

12114917991 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 491 + 79 + 91 = 666.

It is not a de Polignac number, because 12114917991 - 213 = 12114909799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114917981) 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 11 ways as a sum of consecutive naturals, for example, 61186356 + ... + 61186553.

It is an arithmetic number, because the mean of its divisors is an integer number (1590847830).

Almost surely, 212114917991 is an apocalyptic number.

12114917991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12114917991 is a deficient number, since it is larger than the sum of its proper divisors (6975255969).

12114917991 is a wasteful number, since it uses less digits than its factorization.

12114917991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122372926 (or 122372923 counting only the distinct ones).

The product of its digits is 40824, while the sum is 45.

The spelling of 12114917991 in words is "twelve billion, one hundred fourteen million, nine hundred seventeen thousand, nine hundred ninety-one".

Divisors: 1 3 9 11 33 99 122372909 367118727 1101356181 1346101999 4038305997 12114917991