Search a number
-
+
132212214303997 is a prime number
BaseRepresentation
bin11110000011111100001110…
…000100011000110011111101
3122100010100211112111202101211
4132003330032010120303331
5114312131103330211442
61145105241444004421
736564005631061342
oct3603741604306375
9570110745452354
10132212214303997
1139143981233623
12129b3743090711
1358a07347c5129
142491168db47c9
151044222e9d617
hex783f0e118cfd

132212214303997 has 2 divisors, whose sum is σ = 132212214303998. Its totient is φ = 132212214303996.

The previous prime is 132212214303887. The next prime is 132212214304013. The reversal of 132212214303997 is 799303412212231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131910301418841 + 301912885156 = 11485221^2 + 549466^2 .

It is a cyclic number.

It is not a de Polignac number, because 132212214303997 - 215 = 132212214271229 is a prime.

It is a super-4 number, since 4×1322122143039974 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 132212214303997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132212214303097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66106107151998 + 66106107151999.

It is an arithmetic number, because the mean of its divisors is an integer number (66106107151999).

Almost surely, 2132212214303997 is an apocalyptic number.

It is an amenable number.

132212214303997 is a deficient number, since it is larger than the sum of its proper divisors (1).

132212214303997 is an equidigital number, since it uses as much as digits as its factorization.

132212214303997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 132212214303997 in words is "one hundred thirty-two trillion, two hundred twelve billion, two hundred fourteen million, three hundred three thousand, nine hundred ninety-seven".