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13303311233331 = 3724153206920129
BaseRepresentation
bin1100000110010110101100…
…1000111111000100110011
31202002210011122002122020010
43001211223020333010303
53220430140133431311
644143242400550003
72542063311503400
oct301455310770463
952083148078203
1013303311233331
1142699a2413669
1215aa330022303
1375665c800392
1433dc52c292a7
151810b28b6da6
hexc196b23f133

13303311233331 has 96 divisors (see below), whose sum is σ = 21547258286400. Its totient is φ = 7272668282880.

The previous prime is 13303311233279. The next prime is 13303311233347. The reversal of 13303311233331 is 13333211330331.

13303311233331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13303311233331 - 210 = 13303311232307 is a prime.

It is a super-2 number, since 2×133033112333312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13303311233351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660892675 + ... + 660912803.

It is an arithmetic number, because the mean of its divisors is an integer number (224450607150).

Almost surely, 213303311233331 is an apocalyptic number.

13303311233331 is a deficient number, since it is larger than the sum of its proper divisors (8243947053069).

13303311233331 is a wasteful number, since it uses less digits than its factorization.

13303311233331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22309 (or 22302 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 13303311233331 its reverse (13333211330331), we get a palindrome (26636522563662).

The spelling of 13303311233331 in words is "thirteen trillion, three hundred three billion, three hundred eleven million, two hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 21 41 49 53 123 147 159 287 371 861 1113 2009 2069 2173 2597 6027 6207 6519 7791 14483 15211 20129 43449 45633 60387 84829 101381 106477 109657 140903 254487 304143 319431 328971 422709 593803 767599 825289 986321 1066837 1781409 2302797 2475867 2958963 3200511 4156621 4495937 5373193 5777023 7467859 12469863 13487811 16119579 17331069 22403577 31471559 40439161 41646901 43740317 52275013 94414677 121317483 124940703 131220951 156825039 220300913 291528307 306182219 660902739 874584921 918546657 1707522941 2040698149 2143275533 2207285753 5122568823 6122094447 6429826599 6621857259 11952660587 15451000271 35857981761 46353000813 83668624109 90498715873 108157001897 251005872327 271496147619 324471005691 633491011111 1900473033333 4434437077777 13303311233331