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123033313021 is a prime number
BaseRepresentation
bin111001010010101011…
…0110101111011111101
3102202120101212212201011
41302211112311323331
54003433012004041
6132304250515221
711613610622413
oct1624526657375
9382511785634
10123033313021
11481a6109093
121ba17735b11
13b7a9763848
145d521412b3
153301429e81
hex1ca55b5efd

123033313021 has 2 divisors, whose sum is σ = 123033313022. Its totient is φ = 123033313020.

The previous prime is 123033313001. The next prime is 123033313027. The reversal of 123033313021 is 120313330321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119723612121 + 3309700900 = 346011^2 + 57530^2 .

It is an emirp because it is prime and its reverse (120313330321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123033313021 - 229 = 122496442109 is a prime.

It is a super-2 number, since 2×1230333130212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123033312983 and 123033313001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123033313027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61516656510 + 61516656511.

It is an arithmetic number, because the mean of its divisors is an integer number (61516656511).

Almost surely, 2123033313021 is an apocalyptic number.

It is an amenable number.

123033313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

123033313021 is an equidigital number, since it uses as much as digits as its factorization.

123033313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 123033313021 its reverse (120313330321), we get a palindrome (243346643342).

The spelling of 123033313021 in words is "one hundred twenty-three billion, thirty-three million, three hundred thirteen thousand, twenty-one".