Search a number
-
+
22142142329 is a prime number
BaseRepresentation
bin10100100111110001…
…100100011101111001
32010011010100101002112
4110213301210131321
5330321342023304
614101050542105
71412463050546
oct244761443571
963133311075
1022142142329
11943273128a
12435b437935
13211b42c488
1411009c1bcd
15898d59b6e
hex527c64779

22142142329 has 2 divisors, whose sum is σ = 22142142330. Its totient is φ = 22142142328.

The previous prime is 22142142313. The next prime is 22142142359. The reversal of 22142142329 is 92324124122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18109892329 + 4032250000 = 134573^2 + 63500^2 .

It is a cyclic number.

It is not a de Polignac number, because 22142142329 - 24 = 22142142313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22142142295 and 22142142304.

It is not a weakly prime, because it can be changed into another prime (22142142359) 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, 11071071164 + 11071071165.

It is an arithmetic number, because the mean of its divisors is an integer number (11071071165).

Almost surely, 222142142329 is an apocalyptic number.

It is an amenable number.

22142142329 is a deficient number, since it is larger than the sum of its proper divisors (1).

22142142329 is an equidigital number, since it uses as much as digits as its factorization.

22142142329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 32.

The spelling of 22142142329 in words is "twenty-two billion, one hundred forty-two million, one hundred forty-two thousand, three hundred twenty-nine".