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34101232313 is a prime number
BaseRepresentation
bin11111110000100101…
…111000001010111001
310021000120111002110012
4133300211320022321
51024314403413223
623355455431305
72315026456241
oct376045701271
9107016432405
1034101232313
111350a290625
126738525535
1332a5c6c195
141916dd0b21
15d48be8c78
hex7f09782b9

34101232313 has 2 divisors, whose sum is σ = 34101232314. Its totient is φ = 34101232312.

The previous prime is 34101232307. The next prime is 34101232349. The reversal of 34101232313 is 31323210143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33766635049 + 334597264 = 183757^2 + 18292^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34101232313 is a prime.

It is not a weakly prime, because it can be changed into another prime (34101232393) 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 as a sum of consecutive naturals, namely, 17050616156 + 17050616157.

It is an arithmetic number, because the mean of its divisors is an integer number (17050616157).

Almost surely, 234101232313 is an apocalyptic number.

It is an amenable number.

34101232313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34101232313 is an equidigital number, since it uses as much as digits as its factorization.

34101232313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 34101232313 its reverse (31323210143), we get a palindrome (65424442456).

The spelling of 34101232313 in words is "thirty-four billion, one hundred one million, two hundred thirty-two thousand, three hundred thirteen".