Search a number
-
+
1322131193 is a prime number
BaseRepresentation
bin100111011001110…
…0001111011111001
310102010211020000222
41032303201323321
510201431144233
6335105505425
744522633615
oct11663417371
93363736028
101322131193
11619343809
1230a942275
13180bb6466
14c7842345
157b112898
hex4ece1ef9

1322131193 has 2 divisors, whose sum is σ = 1322131194. Its totient is φ = 1322131192.

The previous prime is 1322131189. The next prime is 1322131231. The reversal of 1322131193 is 3911312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1167452224 + 154678969 = 34168^2 + 12437^2 .

It is an emirp because it is prime and its reverse (3911312231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1322131193 - 22 = 1322131189 is a prime.

It is a super-3 number, since 3×13221311933 (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1322133193) 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, 661065596 + 661065597.

It is an arithmetic number, because the mean of its divisors is an integer number (661065597).

Almost surely, 21322131193 is an apocalyptic number.

It is an amenable number.

1322131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131193 is an equidigital number, since it uses as much as digits as its factorization.

1322131193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 26.

The square root of 1322131193 is about 36361.1219986403. The cubic root of 1322131193 is about 1097.5513557433.

The spelling of 1322131193 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred ninety-three".