Search a number
-
+
22312124353 is a prime number
BaseRepresentation
bin10100110001111001…
…111111111111000001
32010120222012100121001
4110301321333333001
5331143400434403
614130002132001
71416625633141
oct246171777701
963528170531
1022312124353
11950a6812a2
1243a8351001
13214770655c
1411193cc921
158a8c34c1d
hex531e7ffc1

22312124353 has 2 divisors, whose sum is σ = 22312124354. Its totient is φ = 22312124352.

The previous prime is 22312124339. The next prime is 22312124369. The reversal of 22312124353 is 35342121322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20641930929 + 1670193424 = 143673^2 + 40868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22312124353 is a prime.

It is a super-3 number, since 3×223121243533 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22312124333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156062176 + 11156062177.

It is an arithmetic number, because the mean of its divisors is an integer number (11156062177).

Almost surely, 222312124353 is an apocalyptic number.

It is an amenable number.

22312124353 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312124353 is an equidigital number, since it uses as much as digits as its factorization.

22312124353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8640, while the sum is 28.

Adding to 22312124353 its reverse (35342121322), we get a palindrome (57654245675).

The spelling of 22312124353 in words is "twenty-two billion, three hundred twelve million, one hundred twenty-four thousand, three hundred fifty-three".