Search a number
-
+
12106211969 = 191814577703
BaseRepresentation
bin10110100011001011…
…00010001010000001
31011020200222021210002
423101211202022001
5144243142240334
65321142045345
7606001050425
oct132145421201
934220867702
1012106211969
115152706265
12241a419855
1311ac171947
1482bb88b85
154acc50b7e
hex2d1962281

12106211969 has 16 divisors (see below), whose sum is σ = 12843492480. Its totient is φ = 11379242880.

The previous prime is 12106211941. The next prime is 12106211981. The reversal of 12106211969 is 96911260121.

It is not a de Polignac number, because 12106211969 - 220 = 12105163393 is a prime.

It is a super-2 number, since 2×121062119692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12106201969) 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, 1567772 + ... + 1575474.

It is an arithmetic number, because the mean of its divisors is an integer number (802718280).

Almost surely, 212106211969 is an apocalyptic number.

12106211969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12106211969 is a deficient number, since it is larger than the sum of its proper divisors (737280511).

12106211969 is a wasteful number, since it uses less digits than its factorization.

12106211969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 12106211969 in words is "twelve billion, one hundred six million, two hundred eleven thousand, nine hundred sixty-nine".

Divisors: 1 19 181 457 3439 7703 8683 82717 146357 1394243 1571623 3520271 26490617 66885149 637169051 12106211969