Search a number
-
+
23312001013123 is a prime number
BaseRepresentation
bin1010100110011101111111…
…00010100001010110000011
310001112121100102200102221111
411103032333202201112003
511023420434224404443
6121325215130104151
74624144055104654
oct523167742412603
9101477312612844
1023312001013123
117478622913879
122746031b7b057
13100140a070224
145a844209952b
152a65ea65969d
hex1533bf8a1583

23312001013123 has 2 divisors, whose sum is σ = 23312001013124. Its totient is φ = 23312001013122.

The previous prime is 23312001013109. The next prime is 23312001013151. The reversal of 23312001013123 is 32131010021332.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23312001013123 is a prime.

It is a super-4 number, since 4×233120010131234 (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23312001013094 and 23312001013103.

It is not a weakly prime, because it can be changed into another prime (23312001013723) 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, 11656000506561 + 11656000506562.

It is an arithmetic number, because the mean of its divisors is an integer number (11656000506562).

Almost surely, 223312001013123 is an apocalyptic number.

23312001013123 is a deficient number, since it is larger than the sum of its proper divisors (1).

23312001013123 is an equidigital number, since it uses as much as digits as its factorization.

23312001013123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 23312001013123 its reverse (32131010021332), we get a palindrome (55443011034455).

The spelling of 23312001013123 in words is "twenty-three trillion, three hundred twelve billion, one million, thirteen thousand, one hundred twenty-three".