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123300031311 = 3233294115351
BaseRepresentation
bin111001011010101000…
…0010010101101001111
3102210020222202120102100
41302311100102231033
54010004302000221
6132350535330143
711623326654642
oct1626520225517
9383228676370
10123300031311
1148322720526
121ba90b20953
13b81caaaa12
145d7972da59
153319a62926
hex1cb5412b4f

123300031311 has 12 divisors (see below), whose sum is σ = 178153588080. Its totient is φ = 82175308800.

The previous prime is 123300031297. The next prime is 123300031339. The reversal of 123300031311 is 113130003321.

It is a happy number.

123300031311 is a `hidden beast` number, since 1 + 23 + 300 + 0 + 31 + 311 = 666.

It is a de Polignac number, because none of the positive numbers 2k-123300031311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123300031111) 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 in 11 ways as a sum of consecutive naturals, for example, 2027715 + ... + 2087636.

It is an arithmetic number, because the mean of its divisors is an integer number (14846132340).

Almost surely, 2123300031311 is an apocalyptic number.

123300031311 is a deficient number, since it is larger than the sum of its proper divisors (54853556769).

123300031311 is a wasteful number, since it uses less digits than its factorization.

123300031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118686 (or 4118683 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 123300031311 its reverse (113130003321), we get a palindrome (236430034632).

The spelling of 123300031311 in words is "one hundred twenty-three billion, three hundred million, thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 3329 9987 29961 4115351 12346053 37038159 13700003479 41100010437 123300031311