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123332101313 = 17192631451837
BaseRepresentation
bin111001011011100101…
…0101000010011000001
3102210100020002220012012
41302313022220103001
54010041004220223
6132354042542305
711624166364331
oct1626712502301
9383306086165
10123332101313
1148339835163
121ba9b807995
13b826628c55
145d7dabb0c1
15331c799c78
hex1cb72a84c1

123332101313 has 16 divisors (see below), whose sum is σ = 137982683520. Its totient is φ = 109549737216.

The previous prime is 123332101307. The next prime is 123332101331. The reversal of 123332101313 is 313101233321.

It is a cyclic number.

It is not a de Polignac number, because 123332101313 - 222 = 123327907009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123332101363) 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, 640970 + ... + 810867.

It is an arithmetic number, because the mean of its divisors is an integer number (8623917720).

Almost surely, 2123332101313 is an apocalyptic number.

It is an amenable number.

123332101313 is a deficient number, since it is larger than the sum of its proper divisors (14650582207).

123332101313 is a wasteful number, since it uses less digits than its factorization.

123332101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452136.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123332101313 its reverse (313101233321), we get a palindrome (436433334634).

The spelling of 123332101313 in words is "one hundred twenty-three billion, three hundred thirty-two million, one hundred one thousand, three hundred thirteen".

Divisors: 1 17 19 263 323 4471 4997 84949 1451837 24681229 27584903 381833131 468943351 6491163227 7254829489 123332101313