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13322211201 = 3213367449691
BaseRepresentation
bin11000110100001000…
…01100111110000001
31021101110002110010200
430122010030332001
5204240441224301
610041541115413
7651064632615
oct143204147601
937343073120
1013322211201
11571704a502
1226b96b8b69
131344078510
14905481345
1552e89bc86
hex31a10cf81

13322211201 has 48 divisors (see below), whose sum is σ = 20856326400. Its totient is φ = 8145930240.

The previous prime is 13322211169. The next prime is 13322211257. The reversal of 13322211201 is 10211222331.

It is not a de Polignac number, because 13322211201 - 25 = 13322211169 is a prime.

It is a super-3 number, since 3×133222112013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13322211401) 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, 19279266 + ... + 19279956.

It is an arithmetic number, because the mean of its divisors is an integer number (434506800).

Almost surely, 213322211201 is an apocalyptic number.

It is an amenable number.

13322211201 is a deficient number, since it is larger than the sum of its proper divisors (7534115199).

13322211201 is a wasteful number, since it uses less digits than its factorization.

13322211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1523 counting only the distinct ones).

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

Adding to 13322211201 its reverse (10211222331), we get a palindrome (23533433532).

The spelling of 13322211201 in words is "thirteen billion, three hundred twenty-two million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 9 13 39 117 367 449 691 1101 1347 2073 3303 4041 4771 5837 6219 8983 14313 17511 26949 42939 52533 80847 164783 253597 310259 494349 760791 930777 1483047 2142179 2282373 2792331 3296761 4033367 6426537 9890283 12100101 19279611 29670849 36300303 113865053 341595159 1024785477 1480245689 4440737067 13322211201