Search a number
-
+
212002201112221 = 1341397752722537
BaseRepresentation
bin110000001101000010011011…
…111000111000111010011101
31000210122012201220111020200201
4300031002123320320322131
5210241421001441042341
62030520244445023501
762440440114431032
oct6015023370707235
91023565656436621
10212002201112221
11616066a0707363
121b93b544254b91
13913a94c9ac420
143a4cd65a8d389
1519799e534b331
hexc0d09be38e9d

212002201112221 has 8 divisors (see below), whose sum is σ = 233878600852344. Its totient is φ = 190921306817280.

The previous prime is 212002201112201. The next prime is 212002201112249. The reversal of 212002201112221 is 122211102200212.

212002201112221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10603131500025 + 201399069612196 = 3256245^2 + 14191514^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212002201112221 - 25 = 212002201112189 is a prime.

It is a super-3 number, since 3×2120022011122213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002201112201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198876360736 + ... + 198876361801.

It is an arithmetic number, because the mean of its divisors is an integer number (29234825106543).

Almost surely, 2212002201112221 is an apocalyptic number.

It is an amenable number.

212002201112221 is a deficient number, since it is larger than the sum of its proper divisors (21876399740123).

212002201112221 is a wasteful number, since it uses less digits than its factorization.

212002201112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397752722591.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212002201112221 its reverse (122211102200212), we get a palindrome (334213303312433).

The spelling of 212002201112221 in words is "two hundred twelve trillion, two billion, two hundred one million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 13 41 533 397752722537 5170785392981 16307861624017 212002201112221