Search a number
-
+
23223133105489 is a prime number
BaseRepresentation
bin1010100011111000011101…
…00110010110110101010001
310001020002222002000222121001
411101330032212112311101
511020441434033333424
6121220320550302001
74614546613256152
oct521741646266521
9101202862028531
1023223133105489
11744396a237509
122730970357901
13cc5c169570b5
145a4011691929
152a41488a2844
hex151f0e996d51

23223133105489 has 2 divisors, whose sum is σ = 23223133105490. Its totient is φ = 23223133105488.

The previous prime is 23223133105451. The next prime is 23223133105499. The reversal of 23223133105489 is 98450133132232.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21925431651600 + 1297701453889 = 4682460^2 + 1139167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23223133105489 is a prime.

It is a super-2 number, since 2×232231331054892 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23223133105499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11611566552744 + 11611566552745.

It is an arithmetic number, because the mean of its divisors is an integer number (11611566552745).

Almost surely, 223223133105489 is an apocalyptic number.

It is an amenable number.

23223133105489 is a deficient number, since it is larger than the sum of its proper divisors (1).

23223133105489 is an equidigital number, since it uses as much as digits as its factorization.

23223133105489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 23223133105489 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred thirty-three million, one hundred five thousand, four hundred eighty-nine".