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31233112321 is a prime number
BaseRepresentation
bin11101000101101000…
…110111100100000001
32222121200121111110211
4131011220313210001
51002431134043241
622203121554121
72153662034335
oct350550674401
988550544424
1031233112321
1112278306624
126077aa5941
132c399b1068
1417241177c5
15c2c005781
hex745a37901

31233112321 has 2 divisors, whose sum is σ = 31233112322. Its totient is φ = 31233112320.

The previous prime is 31233112301. The next prime is 31233112333. The reversal of 31233112321 is 12321133213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28236097296 + 2997015025 = 168036^2 + 54745^2 .

It is an emirp because it is prime and its reverse (12321133213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31233112321 - 25 = 31233112289 is a prime.

It is a super-3 number, since 3×312331123213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31233112292 and 31233112301.

It is not a weakly prime, because it can be changed into another prime (31233112301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15616556160 + 15616556161.

It is an arithmetic number, because the mean of its divisors is an integer number (15616556161).

Almost surely, 231233112321 is an apocalyptic number.

It is an amenable number.

31233112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

31233112321 is an equidigital number, since it uses as much as digits as its factorization.

31233112321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 22.

Adding to 31233112321 its reverse (12321133213), we get a palindrome (43554245534).

The spelling of 31233112321 in words is "thirty-one billion, two hundred thirty-three million, one hundred twelve thousand, three hundred twenty-one".