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34231003313 = 134493586057
BaseRepresentation
bin11111111000010100…
…111010100010110001
310021100121200010210112
4133320110322202301
51030101114101223
623420413111105
72321163504323
oct377024724261
9107317603715
1034231003313
1113576566491
126773a88495
1332c6b07660
14192a331613
15d552ce778
hex7f853a8b1

34231003313 has 8 divisors (see below), whose sum is σ = 36872425128. Its totient is φ = 31590762624.

The previous prime is 34231003309. The next prime is 34231003321. The reversal of 34231003313 is 31330013243.

It can be written as a sum of positive squares in 4 ways, for example, as 6001291024 + 28229712289 = 77468^2 + 168017^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34231003313 - 22 = 34231003309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34231003343) 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 7 ways as a sum of consecutive naturals, for example, 234620 + ... + 351437.

It is an arithmetic number, because the mean of its divisors is an integer number (4609053141).

Almost surely, 234231003313 is an apocalyptic number.

It is an amenable number.

34231003313 is a deficient number, since it is larger than the sum of its proper divisors (2641421815).

34231003313 is a wasteful number, since it uses less digits than its factorization.

34231003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590563.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 34231003313 its reverse (31330013243), we get a palindrome (65561016556).

The spelling of 34231003313 in words is "thirty-four billion, two hundred thirty-one million, three thousand, three hundred thirteen".

Divisors: 1 13 4493 58409 586057 7618741 2633154101 34231003313