Search a number
-
+
12032122311 = 32111975871051
BaseRepresentation
bin10110011010010101…
…11001110111000111
31011001112120010212200
423031022321313013
5144120210403221
65305534045543
7604111231536
oct131512716707
934045503780
1012032122311
115114901640
1223b96498b3
131199a00801
14821dc031d
154a64b8426
hex2cd2b9dc7

12032122311 has 48 divisors (see below), whose sum is σ = 19106575488. Its totient is φ = 7235928000.

The previous prime is 12032122261. The next prime is 12032122313. The reversal of 12032122311 is 11322123021.

12032122311 is a `hidden beast` number, since 12 + 0 + 321 + 22 + 311 = 666.

It is not a de Polignac number, because 12032122311 - 215 = 12032089543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032122313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11447736 + ... + 11448786.

It is an arithmetic number, because the mean of its divisors is an integer number (398053656).

Almost surely, 212032122311 is an apocalyptic number.

12032122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12032122311 is a deficient number, since it is larger than the sum of its proper divisors (7074453177).

12032122311 is a wasteful number, since it uses less digits than its factorization.

12032122311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12032122311 its reverse (11322123021), we get a palindrome (23354245332).

The spelling of 12032122311 in words is "twelve billion, thirty-two million, one hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 197 587 591 1051 1761 1773 2167 3153 5283 6457 6501 9459 11561 19371 19503 34683 58113 104049 115639 207047 346917 616937 621141 1040751 1272029 1850811 1863423 2277517 3816087 5552433 6786307 6832551 11448261 20358921 20497653 61076763 121536589 364609767 1093829301 1336902479 4010707437 12032122311