Search a number
-
+
12211210110329 = 293198429137999
BaseRepresentation
bin1011000110110010010011…
…0101110100010101111001
31121020101021020011101201022
42301230210311310111321
53100032024242012304
641545430311432225
72400142112225636
oct261544465642571
947211236141638
1012211210110329
11398882184189a
121452745685675
136a7687320529
1430305082518d
151629955d8ebe
hexb1b24d74579

12211210110329 has 16 divisors (see below), whose sum is σ = 13040006400000. Its totient is φ = 11409608400960.

The previous prime is 12211210110311. The next prime is 12211210110331. The reversal of 12211210110329 is 92301101211221.

It is a cyclic number.

It is not a de Polignac number, because 12211210110329 - 216 = 12211210044793 is a prime.

It is a super-2 number, since 2×122112101103292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211210110298 and 12211210110307.

It is not an unprimeable number, because it can be changed into a prime (12211210110349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88418672 + ... + 88556670.

It is an arithmetic number, because the mean of its divisors is an integer number (815000400000).

Almost surely, 212211210110329 is an apocalyptic number.

It is an amenable number.

12211210110329 is a deficient number, since it is larger than the sum of its proper divisors (828796289671).

12211210110329 is a wasteful number, since it uses less digits than its factorization.

12211210110329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236488.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 12211210110329 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, one hundred ten thousand, three hundred twenty-nine".

Divisors: 1 29 31 899 98429 137999 2854441 3051299 4001971 4277969 88487671 124061101 13583103571 393910003559 421076210701 12211210110329