Search a number
-
+
33142132001177 is a prime number
BaseRepresentation
bin1111000100100100000010…
…00000010100100110011001
311100100100122011101210110222
413202102001000110212121
513321000041243014202
6154253141340445425
76660303632621423
oct742220100244631
9140310564353428
1033142132001177
11a618554556a11
123873200b49875
13156539c444aa4
14828132acb813
153c71824c84a2
hex1e2481014999

33142132001177 has 2 divisors, whose sum is σ = 33142132001178. Its totient is φ = 33142132001176.

The previous prime is 33142132001051. The next prime is 33142132001203. The reversal of 33142132001177 is 77110023124133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33103211024521 + 38920976656 = 5753539^2 + 197284^2 .

It is an emirp because it is prime and its reverse (77110023124133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33142132001177 - 224 = 33142115223961 is a prime.

It is not a weakly prime, because it can be changed into another prime (33142132001677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16571066000588 + 16571066000589.

It is an arithmetic number, because the mean of its divisors is an integer number (16571066000589).

Almost surely, 233142132001177 is an apocalyptic number.

It is an amenable number.

33142132001177 is a deficient number, since it is larger than the sum of its proper divisors (1).

33142132001177 is an equidigital number, since it uses as much as digits as its factorization.

33142132001177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 33142132001177 in words is "thirty-three trillion, one hundred forty-two billion, one hundred thirty-two million, one thousand, one hundred seventy-seven".