Search a number
-
+
22311240431 is a prime number
BaseRepresentation
bin10100110001110110…
…101000001011101111
32010120220112110002012
4110301312220023233
5331143134143211
614125531151435
71416615262124
oct246166501357
963526473065
1022311240431
11950a128187
1243a7ba557b
13214748711c
14111923c74b
158a8b0cd8b
hex531da82ef

22311240431 has 2 divisors, whose sum is σ = 22311240432. Its totient is φ = 22311240430.

The previous prime is 22311240383. The next prime is 22311240437. The reversal of 22311240431 is 13404211322.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22311240431 is a prime.

It is a super-3 number, since 3×223112404313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22311240397 and 22311240406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22311240437) 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, 11155620215 + 11155620216.

It is an arithmetic number, because the mean of its divisors is an integer number (11155620216).

Almost surely, 222311240431 is an apocalyptic number.

22311240431 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311240431 is an equidigital number, since it uses as much as digits as its factorization.

22311240431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22311240431 its reverse (13404211322), we get a palindrome (35715451753).

The spelling of 22311240431 in words is "twenty-two billion, three hundred eleven million, two hundred forty thousand, four hundred thirty-one".