Search a number
-
+
2084152352137 is a prime number
BaseRepresentation
bin11110010101000001001…
…010010001110110001001
321101020120011100021020221
4132111001022101312021
5233121321000232022
64233240225550041
7303401144460412
oct36250112216611
97336504307227
102084152352137
1173397a73a549
12297b0a4a5321
131216c4a3128b
1472c32cba809
1539330cb7cc7
hex1e541291d89

2084152352137 has 2 divisors, whose sum is σ = 2084152352138. Its totient is φ = 2084152352136.

The previous prime is 2084152352119. The next prime is 2084152352141. The reversal of 2084152352137 is 7312532514802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1953227061241 + 130925290896 = 1397579^2 + 361836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2084152352137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2084152352093 and 2084152352102.

It is not a weakly prime, because it can be changed into another prime (2084152352167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042076176068 + 1042076176069.

It is an arithmetic number, because the mean of its divisors is an integer number (1042076176069).

Almost surely, 22084152352137 is an apocalyptic number.

It is an amenable number.

2084152352137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2084152352137 is an equidigital number, since it uses as much as digits as its factorization.

2084152352137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 43.

Adding to 2084152352137 its reverse (7312532514802), we get a palindrome (9396684866939).

The spelling of 2084152352137 in words is "two trillion, eighty-four billion, one hundred fifty-two million, three hundred fifty-two thousand, one hundred thirty-seven".