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123201348461 is a prime number
BaseRepresentation
bin111001010111101011…
…1110110001101101101
3102210000010001221222222
41302233113312031231
54004304021122321
6132333052245125
711621021116562
oct1625727661555
9383003057888
10123201348461
1148281a49654
121ba63a707a5
13b8055088b9
145d6a5a2869
15331106d3ab
hex1caf5f636d

123201348461 has 2 divisors, whose sum is σ = 123201348462. Its totient is φ = 123201348460.

The previous prime is 123201348451. The next prime is 123201348467. The reversal of 123201348461 is 164843102321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107776950436 + 15424398025 = 328294^2 + 124195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123201348461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123201348467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61600674230 + 61600674231.

It is an arithmetic number, because the mean of its divisors is an integer number (61600674231).

Almost surely, 2123201348461 is an apocalyptic number.

It is an amenable number.

123201348461 is a deficient number, since it is larger than the sum of its proper divisors (1).

123201348461 is an equidigital number, since it uses as much as digits as its factorization.

123201348461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 123201348461 in words is "one hundred twenty-three billion, two hundred one million, three hundred forty-eight thousand, four hundred sixty-one".