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110132311313 is a prime number
BaseRepresentation
bin110011010010001100…
…1011011010100010001
3101112021022101002101002
41212210121123110101
53301022332430223
6122332153351345
710646116125503
oct1464431332421
9345238332332
10110132311313
1142785900602
1219417108555
13a501a4471b
14548a9c5d73
152ce8a30e28
hex19a465b511

110132311313 has 2 divisors, whose sum is σ = 110132311314. Its totient is φ = 110132311312.

The previous prime is 110132311297. The next prime is 110132311337. The reversal of 110132311313 is 313113231011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106986559744 + 3145751569 = 327088^2 + 56087^2 .

It is a cyclic number.

It is not a de Polignac number, because 110132311313 - 24 = 110132311297 is a prime.

It is not a weakly prime, because it can be changed into another prime (110132311613) 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 as a sum of consecutive naturals, namely, 55066155656 + 55066155657.

It is an arithmetic number, because the mean of its divisors is an integer number (55066155657).

Almost surely, 2110132311313 is an apocalyptic number.

It is an amenable number.

110132311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110132311313 is an equidigital number, since it uses as much as digits as its factorization.

110132311313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 110132311313 its reverse (313113231011), we get a palindrome (423245542324).

The spelling of 110132311313 in words is "one hundred ten billion, one hundred thirty-two million, three hundred eleven thousand, three hundred thirteen".