Search a number
-
+
31766220053 is a prime number
BaseRepresentation
bin11101100101011010…
…100000110100010101
310000222211202011210122
4131211122200310111
51010024123020203
622332044201325
72203124262311
oct354532406425
9100884664718
1031766220053
1112521226327
1261a6539245
132cc3288819
141774c4ab41
15c5dc0d538
hex7656a0d15

31766220053 has 2 divisors, whose sum is σ = 31766220054. Its totient is φ = 31766220052.

The previous prime is 31766219981. The next prime is 31766220089. The reversal of 31766220053 is 35002266713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25295948209 + 6470271844 = 159047^2 + 80438^2 .

It is a cyclic number.

It is not a de Polignac number, because 31766220053 - 214 = 31766203669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31766219995 and 31766220022.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31766220953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15883110026 + 15883110027.

It is an arithmetic number, because the mean of its divisors is an integer number (15883110027).

Almost surely, 231766220053 is an apocalyptic number.

It is an amenable number.

31766220053 is a deficient number, since it is larger than the sum of its proper divisors (1).

31766220053 is an equidigital number, since it uses as much as digits as its factorization.

31766220053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 31766220053 its reverse (35002266713), we get a palindrome (66768486766).

The spelling of 31766220053 in words is "thirty-one billion, seven hundred sixty-six million, two hundred twenty thousand, fifty-three".