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34231321413 = 333734265587
BaseRepresentation
bin11111111000010110…
…001000001101000101
310021100122021022011000
4133320112020031011
51030101204241123
623420424003513
72321166300612
oct377026101505
9107318238130
1034231321413
1113576763483
126774000599
1332c6bb9393
14192a3b5509
15d55343b43
hex7f8588345

34231321413 has 16 divisors (see below), whose sum is σ = 52083693760. Its totient is φ = 22204099728.

The previous prime is 34231321409. The next prime is 34231321433. The reversal of 34231321413 is 31412313243.

It is a happy number.

34231321413 is a `hidden beast` number, since 3 + 423 + 13 + 214 + 13 = 666.

It is not a de Polignac number, because 34231321413 - 22 = 34231321409 is a prime.

It is a super-3 number, since 3×342313214133 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231321433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17131795 + ... + 17133792.

It is an arithmetic number, because the mean of its divisors is an integer number (3255230860).

Almost surely, 234231321413 is an apocalyptic number.

It is an amenable number.

34231321413 is a deficient number, since it is larger than the sum of its proper divisors (17852372347).

34231321413 is a wasteful number, since it uses less digits than its factorization.

34231321413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34265633 (or 34265627 counting only the distinct ones).

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

Adding to 34231321413 its reverse (31412313243), we get a palindrome (65643634656).

The spelling of 34231321413 in words is "thirty-four billion, two hundred thirty-one million, three hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 9 27 37 111 333 999 34265587 102796761 308390283 925170849 1267826719 3803480157 11410440471 34231321413