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34114322331 = 32171911735233
BaseRepresentation
bin11111110001010111…
…110011111110011011
310021001111010010120200
4133301113303332123
51024331231303311
623401044153243
72315245645455
oct376127637633
9107044103520
1034114322331
1113516711321
126740998823
1332a88a335b
141918a3b2d5
15d49e32556
hex7f15f3f9b

34114322331 has 24 divisors (see below), whose sum is σ = 54920895120. Its totient is φ = 20278480896.

The previous prime is 34114322287. The next prime is 34114322357. The reversal of 34114322331 is 13322341143.

It is a happy number.

34114322331 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 4 + 322 + 331 = 666.

It is not a de Polignac number, because 34114322331 - 211 = 34114320283 is a prime.

It is a super-2 number, since 2×341143223312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34114322295 and 34114322304.

It is not an unprimeable number, because it can be changed into a prime (34114322831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5864710 + ... + 5870523.

It is an arithmetic number, because the mean of its divisors is an integer number (2288370630).

Almost surely, 234114322331 is an apocalyptic number.

34114322331 is a deficient number, since it is larger than the sum of its proper divisors (20806572789).

34114322331 is a wasteful number, since it uses less digits than its factorization.

34114322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735275 (or 11735272 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 34114322331 its reverse (13322341143), we get a palindrome (47436663474).

The spelling of 34114322331 in words is "thirty-four billion, one hundred fourteen million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 11735233 35205699 105617097 199498961 222969427 598496883 668908281 1795490649 2006724843 3790480259 11371440777 34114322331