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13311020331 = 337531328843
BaseRepresentation
bin11000110010110011…
…00000110100101011
31021100200000220011000
430121121200310223
5204230110122311
610040501210043
7650600543310
oct143131406453
937320026130
1013311020331
1157107a6654
1226b5a00923
13134195a8bb
14903baad07
1552d8db056
hex319660d2b

13311020331 has 32 divisors (see below), whose sum is σ = 22962424320. Its totient is φ = 7462776672.

The previous prime is 13311020293. The next prime is 13311020339. The reversal of 13311020331 is 13302011331.

It is a happy number.

13311020331 is a `hidden beast` number, since 1 + 3 + 311 + 0 + 20 + 331 = 666.

It is not a de Polignac number, because 13311020331 - 210 = 13311019307 is a prime.

It is a super-2 number, since 2×133110203312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13311020339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654405 + ... + 674438.

It is an arithmetic number, because the mean of its divisors is an integer number (717575760).

Almost surely, 213311020331 is an apocalyptic number.

13311020331 is a deficient number, since it is larger than the sum of its proper divisors (9651403989).

13311020331 is a wasteful number, since it uses less digits than its factorization.

13311020331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328912 (or 1328906 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13311020331 its reverse (13302011331), we get a palindrome (26613031662).

The spelling of 13311020331 in words is "thirteen billion, three hundred eleven million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1113 1431 3339 10017 1328843 3986529 9301901 11959587 27905703 35878761 70428679 83717109 211286037 251151327 493000753 633858111 1479002259 1901574333 4437006777 13311020331