Search a number
-
+
23003111310337 is a prime number
BaseRepresentation
bin1010011101011110101000…
…10001110100010000000001
310000110002001101012201112001
411032233110101310100001
511003340332443412322
6120531252231504001
74562630354001424
oct516572421642001
9100402041181461
1023003111310337
117369623710274
1226b61a7528001
13cab25159ba72
145974dc4539bb
1529d56c809827
hex14ebd4474401

23003111310337 has 2 divisors, whose sum is σ = 23003111310338. Its totient is φ = 23003111310336.

The previous prime is 23003111310281. The next prime is 23003111310451. The reversal of 23003111310337 is 73301311130032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12765728743056 + 10237382567281 = 3572916^2 + 3199591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23003111310337 is a prime.

It is not a weakly prime, because it can be changed into another prime (23003111311337) 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, 11501555655168 + 11501555655169.

It is an arithmetic number, because the mean of its divisors is an integer number (11501555655169).

Almost surely, 223003111310337 is an apocalyptic number.

It is an amenable number.

23003111310337 is a deficient number, since it is larger than the sum of its proper divisors (1).

23003111310337 is an equidigital number, since it uses as much as digits as its factorization.

23003111310337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 28.

Adding to 23003111310337 its reverse (73301311130032), we get a palindrome (96304422440369).

The spelling of 23003111310337 in words is "twenty-three trillion, three billion, one hundred eleven million, three hundred ten thousand, three hundred thirty-seven".