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123013321073 is a prime number
BaseRepresentation
bin111001010010000101…
…0100101000101110001
3102202112000021011220122
41302210022211011301
54003412402233243
6132302254220025
711613245656016
oct1624412450561
9382460234818
10123013321073
11481958a3915
121ba10ab4615
13b7a5583ca6
145d4d61970d
1532ee7cb668
hex1ca42a5171

123013321073 has 2 divisors, whose sum is σ = 123013321074. Its totient is φ = 123013321072.

The previous prime is 123013320977. The next prime is 123013321103. The reversal of 123013321073 is 370123310321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75527681329 + 47485639744 = 274823^2 + 217912^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013321073 - 210 = 123013320049 is a prime.

It is a super-2 number, since 2×1230133210732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123013324073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506660536 + 61506660537.

It is an arithmetic number, because the mean of its divisors is an integer number (61506660537).

Almost surely, 2123013321073 is an apocalyptic number.

It is an amenable number.

123013321073 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013321073 is an equidigital number, since it uses as much as digits as its factorization.

123013321073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 123013321073 its reverse (370123310321), we get a palindrome (493136631394).

The spelling of 123013321073 in words is "one hundred twenty-three billion, thirteen million, three hundred twenty-one thousand, seventy-three".