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321131222131123 is a prime number
BaseRepresentation
bin100100100000100010011000…
…0011010111110000110110011
31120010000211211000102110100101
41021001010300122332012303
5314042403220331143443
63054553351414333231
7124432652023126615
oct11101046032760663
91503024730373311
10321131222131123
119335aa940237a8
123002547065a217
1310a2570cacb801
145942b96a16db5
15271d56022c84d
hex12411306be1b3

321131222131123 has 2 divisors, whose sum is σ = 321131222131124. Its totient is φ = 321131222131122.

The previous prime is 321131222131061. The next prime is 321131222131133.

321131222131123 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321131222131123 is a prime.

It is a super-2 number, since 2×3211312221311232 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321131222131091 and 321131222131100.

It is not a weakly prime, because it can be changed into another prime (321131222131133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160565611065561 + 160565611065562.

It is an arithmetic number, because the mean of its divisors is an integer number (160565611065562).

Almost surely, 2321131222131123 is an apocalyptic number.

321131222131123 is a deficient number, since it is larger than the sum of its proper divisors (1).

321131222131123 is an equidigital number, since it uses as much as digits as its factorization.

321131222131123 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 321131222131123 in words is "three hundred twenty-one trillion, one hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty-three".