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321111101111123 is a prime number
BaseRepresentation
bin100100100000011001000000…
…1000111010111101101010011
31120002221220212202011201212102
41021000302001013113231103
5314042041013341023443
63054540223043151015
7124431340301233001
oct11100620107275523
91502856782151772
10321111101111123
11933524a9256654
123002159607546b
1310a2385433090b
145941c0862ba71
15271cc83a58cb8
hex1240c811d7b53

321111101111123 has 2 divisors, whose sum is σ = 321111101111124. Its totient is φ = 321111101111122.

The previous prime is 321111101111107. The next prime is 321111101111147.

321111101111123 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 321111101111123 - 24 = 321111101111107 is a prime.

It is a super-2 number, since 2×3211111011111232 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321111101111095 and 321111101111104.

It is not a weakly prime, because it can be changed into another prime (321111101114123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160555550555561 + 160555550555562.

It is an arithmetic number, because the mean of its divisors is an integer number (160555550555562).

Almost surely, 2321111101111123 is an apocalyptic number.

321111101111123 is a deficient number, since it is larger than the sum of its proper divisors (1).

321111101111123 is an equidigital number, since it uses as much as digits as its factorization.

321111101111123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

It can be divided in two parts, 32111110 and 1111123, that added together give a palindrome (33222233).

The spelling of 321111101111123 in words is "three hundred twenty-one trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred twenty-three".