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123211130113 is a prime number
BaseRepresentation
bin111001010111111110…
…1001010010100000001
3102210000210110220220101
41302233331022110001
54004314022130423
6132334042042401
711621200216531
oct1625775122401
9383023426811
10123211130113
114828751a765
121ba671a9401
13b807551c66
145d6b9cb4c1
153311d517ad
hex1caff4a501

123211130113 has 2 divisors, whose sum is σ = 123211130114. Its totient is φ = 123211130112.

The previous prime is 123211130087. The next prime is 123211130221. The reversal of 123211130113 is 311031112321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86184519184 + 37026610929 = 293572^2 + 192423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123211130113 is a prime.

It is not a weakly prime, because it can be changed into another prime (123211140113) 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, 61605565056 + 61605565057.

It is an arithmetic number, because the mean of its divisors is an integer number (61605565057).

Almost surely, 2123211130113 is an apocalyptic number.

It is an amenable number.

123211130113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123211130113 is an equidigital number, since it uses as much as digits as its factorization.

123211130113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 123211130113 its reverse (311031112321), we get a palindrome (434242242434).

The spelling of 123211130113 in words is "one hundred twenty-three billion, two hundred eleven million, one hundred thirty thousand, one hundred thirteen".