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34312204121 = 132779528521
BaseRepresentation
bin11111111101001010…
…101010111101011001
310021120021110120100212
4133331022222331121
51030232411012441
623432433340505
72323200631346
oct377512527531
9107507416325
1034312204121
1113608387898
126797107735
13330a898480
14193702b7cd
15d5c4bdeeb
hex7fd2aaf59

34312204121 has 8 divisors (see below), whose sum is σ = 37085007624. Its totient is φ = 31558458240.

The previous prime is 34312204061. The next prime is 34312204127. The reversal of 34312204121 is 12140221343.

It can be written as a sum of positive squares in 4 ways, for example, as 1215498496 + 33096705625 = 34864^2 + 181925^2 .

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 34312204121 - 222 = 34308009817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34312204127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4760660 + ... + 4767861.

It is an arithmetic number, because the mean of its divisors is an integer number (4635625953).

Almost surely, 234312204121 is an apocalyptic number.

It is an amenable number.

34312204121 is a deficient number, since it is larger than the sum of its proper divisors (2772803503).

34312204121 is a wasteful number, since it uses less digits than its factorization.

34312204121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528811.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34312204121 its reverse (12140221343), we get a palindrome (46452425464).

The spelling of 34312204121 in words is "thirty-four billion, three hundred twelve million, two hundred four thousand, one hundred twenty-one".

Divisors: 1 13 277 3601 9528521 123870773 2639400317 34312204121