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132133202777 is a prime number
BaseRepresentation
bin111101100001111000…
…0001010101101011001
3110122001120221011201002
41323003300022231121
54131102044442102
6140411241034345
712355245456302
oct1730360125531
9418046834632
10132133202777
1151045825a34
12217371859b5
13c5c9b193b4
1465769197a9
153685288902
hex1ec3c0ab59

132133202777 has 2 divisors, whose sum is σ = 132133202778. Its totient is φ = 132133202776.

The previous prime is 132133202753. The next prime is 132133202807. The reversal of 132133202777 is 777202331231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71860988761 + 60272214016 = 268069^2 + 245504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132133202777 is a prime.

It is a super-2 number, since 2×1321332027772 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132133202777.

It is not a weakly prime, because it can be changed into another prime (132133202737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66066601388 + 66066601389.

It is an arithmetic number, because the mean of its divisors is an integer number (66066601389).

Almost surely, 2132133202777 is an apocalyptic number.

It is an amenable number.

132133202777 is a deficient number, since it is larger than the sum of its proper divisors (1).

132133202777 is an equidigital number, since it uses as much as digits as its factorization.

132133202777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74088, while the sum is 38.

The spelling of 132133202777 in words is "one hundred thirty-two billion, one hundred thirty-three million, two hundred two thousand, seven hundred seventy-seven".