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12241312101 = 323736760697
BaseRepresentation
bin10110110011010001…
…11001100101100101
31011121010012002022200
423121220321211211
5200032233441401
65342405445113
7612231302364
oct133150714545
934533162280
1012241312101
1152119a0a67
122457710799
131201154955
14841ab57db
154b9a3a686
hex2d9a39965

12241312101 has 12 divisors (see below), whose sum is σ = 18159784812. Its totient is φ = 7940310336.

The previous prime is 12241312099. The next prime is 12241312133. The reversal of 12241312101 is 10121314221.

12241312101 is a `hidden beast` number, since 12 + 241 + 312 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8097300225 + 4144011876 = 89985^2 + 64374^2 .

It is not a de Polignac number, because 12241312101 - 21 = 12241312099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241312301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18380016 + ... + 18380681.

It is an arithmetic number, because the mean of its divisors is an integer number (1513315401).

Almost surely, 212241312101 is an apocalyptic number.

It is an amenable number.

12241312101 is a deficient number, since it is larger than the sum of its proper divisors (5918472711).

12241312101 is a wasteful number, since it uses less digits than its factorization.

12241312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36760740 (or 36760737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12241312101 its reverse (10121314221), we get a palindrome (22362626322).

The spelling of 12241312101 in words is "twelve billion, two hundred forty-one million, three hundred twelve thousand, one hundred one".

Divisors: 1 3 9 37 111 333 36760697 110282091 330846273 1360145789 4080437367 12241312101