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13302211221 = 3213217514453
BaseRepresentation
bin11000110001101111…
…11010001010010101
31021100001110100022200
430120313322022111
5204220331224341
610035544315113
7650432633625
oct143067721225
937301410280
1013302211221
11570682a1a2
1226b2a72a99
13133cb95100
14902956885
1552cc4adb6
hex318dfa295

13302211221 has 36 divisors (see below), whose sum is σ = 22029949188. Its totient is φ = 7704433152.

The previous prime is 13302211199. The next prime is 13302211229. The reversal of 13302211221 is 12211220331.

It can be written as a sum of positive squares in 6 ways, for example, as 22184100 + 13280027121 = 4710^2 + 115239^2 .

It is not a de Polignac number, because 13302211221 - 25 = 13302211189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13302211194 and 13302211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302211229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231370 + ... + 283083.

It is an arithmetic number, because the mean of its divisors is an integer number (611943033).

Almost surely, 213302211221 is an apocalyptic number.

It is an amenable number.

13302211221 is a deficient number, since it is larger than the sum of its proper divisors (8727737967).

13302211221 is a wasteful number, since it uses less digits than its factorization.

13302211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514502 (or 514486 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13302211221 its reverse (12211220331), we get a palindrome (25513431552).

The spelling of 13302211221 in words is "thirteen billion, three hundred two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1989 2873 8619 25857 514453 1543359 4630077 6687889 8745701 20063667 26237103 60191001 78711309 86942557 113694113 260827671 341082339 782483013 1023247017 1478023469 4434070407 13302211221