Search a number
-
+
12211102002201 = 31131731222717029
BaseRepresentation
bin1011000110110001111001…
…1001011010110000011001
31121020100222200201221020120
42301230132121122300121
53100031314103032301
641545411450343453
72400136330303614
oct261543631326031
947210880657216
1012211102002201
113988776812633
12145271542ab89
136a766aacb31b
1430304032317b
1516298ad81e36
hexb1b1e65ac19

12211102002201 has 32 divisors (see below), whose sum is σ = 16522819896960. Its totient is φ = 8020925789184.

The previous prime is 12211102002199. The next prime is 12211102002221. The reversal of 12211102002201 is 10220020111221.

12211102002201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211102002201 - 21 = 12211102002199 is a prime.

It is a super-2 number, since 2×122111020022012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12211102002221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717068355 + ... + 717085383.

It is an arithmetic number, because the mean of its divisors is an integer number (516338121780).

Almost surely, 212211102002201 is an apocalyptic number.

It is an amenable number.

12211102002201 is a deficient number, since it is larger than the sum of its proper divisors (4311717894759).

12211102002201 is a wasteful number, since it uses less digits than its factorization.

12211102002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29545.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211102002201 its reverse (10220020111221), we get a palindrome (22431122113422).

The spelling of 12211102002201 in words is "twelve trillion, two hundred eleven billion, one hundred two million, two thousand, two hundred one".

Divisors: 1 3 113 173 339 519 12227 17029 19549 36681 51087 58647 1381651 1924277 2115271 2946017 4144953 5772831 6345813 8838051 208213583 239025623 332899921 624640749 717076869 998699763 23528134879 36020949859 70584404637 108062849577 4070367334067 12211102002201