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13233322211221 = 7211343912914217
BaseRepresentation
bin1100000010010001111101…
…1110000011011110010101
31201212002111222101221012001
43000210133132003132111
53213303320441224341
644051145421155301
72534035026565300
oct300443736033625
951762458357161
1013233322211221
11424224743a432
1215988589bbb31
1374cb8772a728
1433a6d386db37
1517e368223d31
hexc091f783795

13233322211221 has 48 divisors (see below), whose sum is σ = 15581220462720. Its totient is φ = 11205512801280.

The previous prime is 13233322211191. The next prime is 13233322211261. The reversal of 13233322211221 is 12211222333231.

13233322211221 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 13233322211221 - 219 = 13233321686933 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13233322211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233322211261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3138087105 + ... + 3138091321.

It is an arithmetic number, because the mean of its divisors is an integer number (324608759640).

Almost surely, 213233322211221 is an apocalyptic number.

It is an amenable number.

13233322211221 is a deficient number, since it is larger than the sum of its proper divisors (2347898251499).

13233322211221 is a wasteful number, since it uses less digits than its factorization.

13233322211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6067 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 13233322211221 its reverse (12211222333231), we get a palindrome (25444544544452).

The spelling of 13233322211221 in words is "thirteen trillion, two hundred thirty-three billion, three hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 49 113 439 791 1291 3073 4217 5537 9037 21511 29519 49607 63259 145883 206633 347249 476521 566749 1021181 1851263 2430743 3335647 3967243 5444147 7148267 12958841 23349529 27770701 38109029 64042637 90711887 209192719 266763203 448298459 615188611 1464349033 2389980533 3138089213 4306320277 10250443231 16729863731 30144241939 117109046117 270067800229 1890474601603 13233322211221