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201213221231331 = 32479270717242103
BaseRepresentation
bin101101110000000010011010…
…100100110101101011100011
3222101102210111100102022100100
4231300002122210311223203
5202333134134113400311
61551540024442553443
760245114124530511
oct5560023244655343
9871383440368310
10201213221231331
1159127058849201
121a698578808883
13883742ca2759a
143798ab40254b1
15183e03e82ba56
hexb7009a935ae3

201213221231331 has 24 divisors (see below), whose sum is σ = 291355694023680. Its totient is φ = 133812643138416.

The previous prime is 201213221231311. The next prime is 201213221231333. The reversal of 201213221231331 is 133132122312102.

201213221231331 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 322 + 1 + 2 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 201213221231331 - 229 = 201212684360419 is a prime.

It is a super-2 number, since 2×2012132212313312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201213221231295 and 201213221231304.

It is not an unprimeable number, because it can be changed into a prime (201213221231333) 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 23 ways as a sum of consecutive naturals, for example, 3048826 + ... + 20290928.

It is an arithmetic number, because the mean of its divisors is an integer number (12139820584320).

Almost surely, 2201213221231331 is an apocalyptic number.

201213221231331 is a deficient number, since it is larger than the sum of its proper divisors (90142472792349).

201213221231331 is a wasteful number, since it uses less digits than its factorization.

201213221231331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17245295 (or 17245292 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 201213221231331 its reverse (133132122312102), we get a palindrome (334345343543433).

The spelling of 201213221231331 in words is "two hundred one trillion, two hundred thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 479 1437 2707 4311 8121 24363 1296653 3889959 11669877 17242103 51726309 155178927 8258967337 24776902011 46674372821 74330706033 140023118463 420069355389 22357024581259 67071073743777 201213221231331