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13345354331 = 1723316716433
BaseRepresentation
bin11000110110111000…
…11111001001011011
31021110001122020112122
430123130133021123
5204312402314311
610044125131455
7651465432401
oct143334371133
937401566478
1013345354331
115729117261
1227053b9b8b
131348abc48a
14908587471
1553191e0db
hex31b71f25b

13345354331 has 32 divisors (see below), whose sum is σ = 15448485888. Its totient is φ = 11452446720.

The previous prime is 13345354301. The next prime is 13345354333.

It is a happy number.

13345354331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13345354331 is a prime.

It is a super-2 number, since 2×133453543312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13345354291 and 13345354300.

It is not an unprimeable number, because it can be changed into a prime (13345354333) 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, 803891 + ... + 820323.

It is an arithmetic number, because the mean of its divisors is an integer number (482765184).

Almost surely, 213345354331 is an apocalyptic number.

13345354331 is a deficient number, since it is larger than the sum of its proper divisors (2103131557).

13345354331 is a wasteful number, since it uses less digits than its factorization.

13345354331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16571.

The product of its digits is 97200, while the sum is 35.

The spelling of 13345354331 in words is "thirteen billion, three hundred forty-five million, three hundred fifty-four thousand, three hundred thirty-one".

Divisors: 1 17 23 31 67 391 527 713 1139 1541 2077 12121 16433 26197 35309 47771 279361 377959 509423 812107 1101011 6425303 8660191 11716729 18717187 25323253 34131341 199184393 430495301 580232797 785020843 13345354331