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13332010221 = 324173494933
BaseRepresentation
bin11000110101010011…
…00101010011101101
31021102010112021212100
430122221211103231
5204300443311341
610042531125313
7651244134315
oct143251452355
937363467770
1013332010221
115721632672
122700a43839
1313460c975a
149068b2445
155306853b6
hex31aa654ed

13332010221 has 24 divisors (see below), whose sum is σ = 19997313336. Its totient is φ = 8552424960.

The previous prime is 13332010213. The next prime is 13332010229. The reversal of 13332010221 is 12201023331.

It is an interprime number because it is at equal distance from previous prime (13332010213) and next prime (13332010229).

It can be written as a sum of positive squares in 4 ways, for example, as 17388900 + 13314621321 = 4170^2 + 115389^2 .

It is not a de Polignac number, because 13332010221 - 23 = 13332010213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13332010194 and 13332010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332010229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220530 + ... + 274403.

It is an arithmetic number, because the mean of its divisors is an integer number (833221389).

Almost surely, 213332010221 is an apocalyptic number.

It is an amenable number.

13332010221 is a deficient number, since it is larger than the sum of its proper divisors (6665303115).

13332010221 is a wasteful number, since it uses less digits than its factorization.

13332010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495053 (or 495050 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13332010221 its reverse (12201023331), we get a palindrome (25533033552).

The spelling of 13332010221 in words is "thirteen billion, three hundred thirty-two million, ten thousand, two hundred twenty-one".

Divisors: 1 3 9 41 73 123 219 369 657 2993 8979 26937 494933 1484799 4454397 20292253 36130109 60876759 108390327 182630277 325170981 1481334469 4444003407 13332010221