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33145443331 = 72111314333301
BaseRepresentation
bin11110110111100111…
…110101010000000011
310011112221222222110021
4132313213311100003
51020340213141311
623120553514311
72252242422400
oct366747652003
9104487888407
1033145443331
1113069814180
126510412997
133182c41480
1418660b12a7
15cded4c171
hex7b79f5403

33145443331 has 48 divisors (see below), whose sum is σ = 45343011168. Its totient is φ = 23817024000.

The previous prime is 33145443307. The next prime is 33145443349. The reversal of 33145443331 is 13334454133.

It is not a de Polignac number, because 33145443331 - 215 = 33145410563 is a prime.

It is a super-2 number, since 2×331454433312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33145443131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10039381 + ... + 10042681.

It is an arithmetic number, because the mean of its divisors is an integer number (944646066).

Almost surely, 233145443331 is an apocalyptic number.

33145443331 is a deficient number, since it is larger than the sum of its proper divisors (12197567837).

33145443331 is a wasteful number, since it uses less digits than its factorization.

33145443331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4765 counting only the distinct ones).

The product of its digits is 77760, while the sum is 34.

Adding to 33145443331 its reverse (13334454133), we get a palindrome (46479897464).

The spelling of 33145443331 in words is "thirty-three billion, one hundred forty-five million, four hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 1433 3301 7007 10031 15763 18629 23107 36311 42913 70217 110341 130403 161749 204919 254177 300391 472043 772387 912821 1434433 1779239 2102737 3304301 4730333 10041031 23130107 33112331 52033663 61494329 231786317 364235641 430460303 676437619 2549649487 3013222121 4735063333 33145443331