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123023311249 is a prime number
BaseRepresentation
bin111001010010011000…
…0101100000110010001
3102202112201001201212011
41302210300230012101
54003422431424444
6132303252302521
711613426614626
oct1624460540621
9382481051764
10123023311249
11481a04a7663
121ba14311a41
13b7a7671237
145d50a9a34d
153300601734
hex1ca4c2c191

123023311249 has 2 divisors, whose sum is σ = 123023311250. Its totient is φ = 123023311248.

The previous prime is 123023311207. The next prime is 123023311253. The reversal of 123023311249 is 942113320321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99780174400 + 23243136849 = 315880^2 + 152457^2 .

It is a cyclic number.

It is not a de Polignac number, because 123023311249 - 27 = 123023311121 is a prime.

It is a super-2 number, since 2×1230233112492 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123023311249.

It is not a weakly prime, because it can be changed into another prime (123023351249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61511655624 + 61511655625.

It is an arithmetic number, because the mean of its divisors is an integer number (61511655625).

Almost surely, 2123023311249 is an apocalyptic number.

It is an amenable number.

123023311249 is a deficient number, since it is larger than the sum of its proper divisors (1).

123023311249 is an equidigital number, since it uses as much as digits as its factorization.

123023311249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 123023311249 in words is "one hundred twenty-three billion, twenty-three million, three hundred eleven thousand, two hundred forty-nine".