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345133132123 = 132942110512069
BaseRepresentation
bin1010000010110111000…
…10011010100101011011
31012222211220212200202011
411001123202122211123
521123313040211443
6422315120450351
733635502135043
oct5013342324533
91188756780664
10345133132123
1112340872349a
1256a804799b7
13267134b4050
14129c1348723
158e9eb48b9d
hex505b89a95b

345133132123 has 32 divisors (see below), whose sum is σ = 385964913600. Its totient is φ = 306427968000.

The previous prime is 345133132039. The next prime is 345133132151. The reversal of 345133132123 is 321231331543.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 345133132123 - 217 = 345133001051 is a prime.

It is a super-3 number, since 3×3451331321233 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345133132423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166810533 + ... + 166812601.

It is an arithmetic number, because the mean of its divisors is an integer number (12061403550).

Almost surely, 2345133132123 is an apocalyptic number.

345133132123 is a deficient number, since it is larger than the sum of its proper divisors (40831781477).

345133132123 is a wasteful number, since it uses less digits than its factorization.

345133132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583.

The product of its digits is 19440, while the sum is 31.

Adding to 345133132123 its reverse (321231331543), we get a palindrome (666364463666).

The spelling of 345133132123 in words is "three hundred forty-five billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 13 29 377 421 1051 2069 5473 12209 13663 26897 30479 60001 158717 396227 442471 780013 871049 2174519 5752123 11323637 12831659 25260421 28268747 63061051 166811567 328385473 819793663 915472499 11901142487 26548702471 345133132123