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31320320033 is a prime number
BaseRepresentation
bin11101001010110101…
…100010100000100001
32222211202201002222002
4131022311202200201
51003121000220113
622215515053345
72156101220252
oct351265424041
988752632862
1031320320033
1112312560012
1260a1141255
132c51a96062
141731938b29
15c349cec58
hex74ad62821

31320320033 has 2 divisors, whose sum is σ = 31320320034. Its totient is φ = 31320320032.

The previous prime is 31320320027. The next prime is 31320320051. The reversal of 31320320033 is 33002302313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23763147409 + 7557172624 = 154153^2 + 86932^2 .

It is an emirp because it is prime and its reverse (33002302313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31320320033 - 220 = 31319271457 is a prime.

It is a super-3 number, since 3×313203200333 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31320319987 and 31320320014.

It is not a weakly prime, because it can be changed into another prime (31320320023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15660160016 + 15660160017.

It is an arithmetic number, because the mean of its divisors is an integer number (15660160017).

Almost surely, 231320320033 is an apocalyptic number.

It is an amenable number.

31320320033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31320320033 is an equidigital number, since it uses as much as digits as its factorization.

31320320033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 31320320033 its reverse (33002302313), we get a palindrome (64322622346).

The spelling of 31320320033 in words is "thirty-one billion, three hundred twenty million, three hundred twenty thousand, thirty-three".