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123210133121941 is a prime number
BaseRepresentation
bin11100000000111100011000…
…001101111010101110010101
3121011020202220000120220222121
4130000330120031322232111
5112122133323034400231
61114013542002255541
734644431646412645
oct3400743015725625
9534222800526877
10123210133121941
113629314007a628
121199ab483575b1
135399886705988
14225d58bb40525
15e39ea1c25311
hex700f1837ab95

123210133121941 has 2 divisors, whose sum is σ = 123210133121942. Its totient is φ = 123210133121940.

The previous prime is 123210133121939. The next prime is 123210133122017. The reversal of 123210133121941 is 149121331012321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106996867157041 + 16213265964900 = 10343929^2 + 4026570^2 .

It is a cyclic number.

It is not a de Polignac number, because 123210133121941 - 21 = 123210133121939 is a prime.

Together with 123210133121939, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 123210133121897 and 123210133121906.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123210133191941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61605066560970 + 61605066560971.

It is an arithmetic number, because the mean of its divisors is an integer number (61605066560971).

Almost surely, 2123210133121941 is an apocalyptic number.

It is an amenable number.

123210133121941 is a deficient number, since it is larger than the sum of its proper divisors (1).

123210133121941 is an equidigital number, since it uses as much as digits as its factorization.

123210133121941 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 34.

The spelling of 123210133121941 in words is "one hundred twenty-three trillion, two hundred ten billion, one hundred thirty-three million, one hundred twenty-one thousand, nine hundred forty-one".