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13303111221 = 34164235941
BaseRepresentation
bin11000110001110110…
…10101111000110101
31021100010011001220000
430120323111320311
5204221044024341
610040015501513
7650443402551
oct143073257065
937303131800
1013303111221
1157072943a4
1226b3227899
13134011b95a
14902b0c861
1552cd778b6
hex318ed5e35

13303111221 has 10 divisors (see below), whose sum is σ = 19872548982. Its totient is φ = 8868740760.

The previous prime is 13303111183. The next prime is 13303111223. The reversal of 13303111221 is 12211130331.

13303111221 is a `hidden beast` number, since 1 + 330 + 3 + 111 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12547136196 + 755975025 = 112014^2 + 27495^2 .

It is not a de Polignac number, because 13303111221 - 213 = 13303103029 is a prime.

It is a super-2 number, since 2×133031112212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13303111194 and 13303111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82117890 + ... + 82118051.

Almost surely, 213303111221 is an apocalyptic number.

It is an amenable number.

13303111221 is a deficient number, since it is larger than the sum of its proper divisors (6569437761).

13303111221 is an equidigital number, since it uses as much as digits as its factorization.

13303111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164235953 (or 164235944 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13303111221 its reverse (12211130331), we get a palindrome (25514241552).

The spelling of 13303111221 in words is "thirteen billion, three hundred three million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 164235941 492707823 1478123469 4434370407 13303111221