Search a number
-
+
22333129981 is a prime number
BaseRepresentation
bin10100110011001010…
…001000010011111101
32010122102201112220021
4110303022020103331
5331214240124411
614132032252141
71420302321061
oct246312102375
963572645807
1022333129981
119520519118
1243b33a1051
13214bb7c616
14111c0d9aa1
158aa9d3a71
hex5332884fd

22333129981 has 2 divisors, whose sum is σ = 22333129982. Its totient is φ = 22333129980.

The previous prime is 22333129979. The next prime is 22333130041. The reversal of 22333129981 is 18992133322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20918993956 + 1414136025 = 144634^2 + 37605^2 .

It is a cyclic number.

It is not a de Polignac number, because 22333129981 - 21 = 22333129979 is a prime.

It is a super-2 number, since 2×223331299812 (a number of 21 digits) contains 22 as substring.

Together with 22333129979, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22333129781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11166564990 + 11166564991.

It is an arithmetic number, because the mean of its divisors is an integer number (11166564991).

Almost surely, 222333129981 is an apocalyptic number.

22333129981 is the 79881-st centered heptagonal number.

It is an amenable number.

22333129981 is a deficient number, since it is larger than the sum of its proper divisors (1).

22333129981 is an equidigital number, since it uses as much as digits as its factorization.

22333129981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 43.

The spelling of 22333129981 in words is "twenty-two billion, three hundred thirty-three million, one hundred twenty-nine thousand, nine hundred eighty-one".