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123203133181 is a prime number
BaseRepresentation
bin111001010111101111…
…0101001111011111101
3102210000020102122011201
41302233132221323331
54004310000230211
6132333154415501
711621042232052
oct1625736517375
9383006378151
10123203133181
1148282a58527
121ba64591591
13b8059b204b
145d6a909029
1533112c20c1
hex1caf7a9efd

123203133181 has 2 divisors, whose sum is σ = 123203133182. Its totient is φ = 123203133180.

The previous prime is 123203133089. The next prime is 123203133247. The reversal of 123203133181 is 181331302321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91684812025 + 31518321156 = 302795^2 + 177534^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123203133181 is a prime.

It is a super-2 number, since 2×1232031331812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123203130181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61601566590 + 61601566591.

It is an arithmetic number, because the mean of its divisors is an integer number (61601566591).

Almost surely, 2123203133181 is an apocalyptic number.

It is an amenable number.

123203133181 is a deficient number, since it is larger than the sum of its proper divisors (1).

123203133181 is an equidigital number, since it uses as much as digits as its factorization.

123203133181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 123203133181 in words is "one hundred twenty-three billion, two hundred three million, one hundred thirty-three thousand, one hundred eighty-one".