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13302222220331 = 1122910651495799
BaseRepresentation
bin1100000110010010101000…
…1110101110110000101011
31202002200100201221001020022
43001210222032232300223
53220420422342022311
644142542335351055
72542024316160362
oct301445216566053
952080321831208
1013302222220331
114269493723020
1215aa08738248b
13756517cc85a5
1433db8c34a7d9
1518104bea15db
hexc192a3aec2b

13302222220331 has 16 divisors (see below), whose sum is σ = 14576282016000. Its totient is φ = 12038967036000.

The previous prime is 13302222220327. The next prime is 13302222220351.

13302222220331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13302222220331 - 22 = 13302222220327 is a prime.

It is a super-2 number, since 2×133022222203312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13302222220331.

It is not an unprimeable number, because it can be changed into a prime (13302222220351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26581970 + ... + 27077768.

It is an arithmetic number, because the mean of its divisors is an integer number (911017626000).

Almost surely, 213302222220331 is an apocalyptic number.

13302222220331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13302222220331 is a deficient number, since it is larger than the sum of its proper divisors (1274059795669).

13302222220331 is a wasteful number, since it uses less digits than its factorization.

13302222220331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506690.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 1330222 and 2220331, that added together give a palindrome (3550553).

The spelling of 13302222220331 in words is "thirteen trillion, three hundred two billion, two hundred twenty-two million, two hundred twenty thousand, three hundred thirty-one".

Divisors: 1 11 229 2519 10651 117161 495799 2439079 5453789 26829869 113537971 1248917681 5280755149 58088306639 1209292929121 13302222220331