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13302231111221 = 13171971510120233
BaseRepresentation
bin1100000110010010101011…
…0000101001011000110101
31202002200101100122202020112
43001210222300221120311
53220420432131024341
644142543254112405
72542024454560343
oct301445260513065
952080340582215
1013302231111221
114269498745968
1215aa08a34b705
13756519abc380
1433db8d5c2993
1518104cb5aaeb
hexc192ac29635

13302231111221 has 32 divisors (see below), whose sum is σ = 15246913717728. Its totient is φ = 11496696422400.

The previous prime is 13302231111203. The next prime is 13302231111229. The reversal of 13302231111221 is 12211113220331.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1327136256196 + 11975094855025 = 1152014^2 + 3460505^2 .

It is a cyclic number.

It is not a de Polignac number, because 13302231111221 - 210 = 13302231110197 is a prime.

It is a super-2 number, since 2×133022311112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302231111229) 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 31 ways as a sum of consecutive naturals, for example, 657442121 + ... + 657462353.

It is an arithmetic number, because the mean of its divisors is an integer number (476466053679).

Almost surely, 213302231111221 is an apocalyptic number.

It is an amenable number.

13302231111221 is a deficient number, since it is larger than the sum of its proper divisors (1944682606507).

13302231111221 is a wasteful number, since it uses less digits than its factorization.

13302231111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35561.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13302231111221 its reverse (12211113220331), we get a palindrome (25513344331552).

The spelling of 13302231111221 in words is "thirteen trillion, three hundred two billion, two hundred thirty-one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 13 17 197 221 2561 3349 15101 20233 43537 196313 256717 263029 343961 2974897 3337321 3985901 4471493 38673661 50573249 51816713 67760317 305538533 657452237 880884121 3972000929 5194155061 60191091001 67524015793 782484183013 1023248547017 13302231111221