Search a number
-
+
12221010213133 = 533891456140709
BaseRepresentation
bin1011000111010110110011…
…1110001111100100001101
31121021022120012210012102211
42301311230332033210031
53100212112103310013
641554130553550421
72400640011562141
oct261655476174415
947238505705384
1012221010213133
1139919a0734107
12145461b715411
136a858978b427
143037001d1221
15162d6ab5d23d
hexb1d6cf8f90d

12221010213133 has 16 divisors (see below), whose sum is σ = 12484768561200. Its totient is φ = 11958486292480.

The previous prime is 12221010213089. The next prime is 12221010213143. The reversal of 12221010213133 is 33131201012221.

It can be written as a sum of positive squares in 8 ways, for example, as 131738509764 + 12089271703369 = 362958^2 + 3476963^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221010213133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221010213143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300183783 + ... + 300224491.

It is an arithmetic number, because the mean of its divisors is an integer number (780298035075).

Almost surely, 212221010213133 is an apocalyptic number.

It is an amenable number.

12221010213133 is a deficient number, since it is larger than the sum of its proper divisors (263758348067).

12221010213133 is a wasteful number, since it uses less digits than its factorization.

12221010213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55712.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12221010213133 its reverse (33131201012221), we get a palindrome (45352211225354).

The spelling of 12221010213133 in words is "twelve trillion, two hundred twenty-one billion, ten million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 53 389 14561 20617 40709 771733 2157577 5664229 15835801 300204137 592763749 839297453 31416478697 230585098361 12221010213133