Search a number
-
+
31322000220233 is a prime number
BaseRepresentation
bin1110001111100101110001…
…01100100110000001001001
311002220100120001100012021212
413013302320230212001021
513101134424024021413
6150341043411542505
76411640236014432
oct707627054460111
9132810501305255
1031322000220233
119a8664961a338
12361a4b65baa35
131462862434988
147a3dc8732489
15394b55372ca8
hex1c7cb8b26049

31322000220233 has 2 divisors, whose sum is σ = 31322000220234. Its totient is φ = 31322000220232.

The previous prime is 31322000220197. The next prime is 31322000220263. The reversal of 31322000220233 is 33202200022313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25035732759184 + 6286267461049 = 5003572^2 + 2507243^2 .

It is a cyclic number.

It is not a de Polignac number, because 31322000220233 - 212 = 31322000216137 is a prime.

It is a super-2 number, since 2×313220002202332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31322000220199 and 31322000220208.

It is not a weakly prime, because it can be changed into another prime (31322000220263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15661000110116 + 15661000110117.

It is an arithmetic number, because the mean of its divisors is an integer number (15661000110117).

Almost surely, 231322000220233 is an apocalyptic number.

It is an amenable number.

31322000220233 is a deficient number, since it is larger than the sum of its proper divisors (1).

31322000220233 is an equidigital number, since it uses as much as digits as its factorization.

31322000220233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 31322000220233 its reverse (33202200022313), we get a palindrome (64524200242546).

The spelling of 31322000220233 in words is "thirty-one trillion, three hundred twenty-two billion, two hundred twenty thousand, two hundred thirty-three".