Search a number
-
+
23333020231933 is a prime number
BaseRepresentation
bin1010100111000101001000…
…11000011110100011111101
310001121121121022001101120001
411103202210120132203331
511024242011134410213
6121343012544554301
74625516664366166
oct523424430364375
9101547538041501
1023333020231933
1174865296a2a95
12274a119322991
1310033a99539c9
145a947789276d
152a6e2ab011dd
hex1538a461e8fd

23333020231933 has 2 divisors, whose sum is σ = 23333020231934. Its totient is φ = 23333020231932.

The previous prime is 23333020231931. The next prime is 23333020231967. The reversal of 23333020231933 is 33913202033332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17486673433849 + 5846346798084 = 4181707^2 + 2417922^2 .

It is a cyclic number.

It is not a de Polignac number, because 23333020231933 - 21 = 23333020231931 is a prime.

It is a super-2 number, since 2×233330202319332 (a number of 28 digits) contains 22 as substring.

Together with 23333020231931, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 23333020231892 and 23333020231901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23333020231931) 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, 11666510115966 + 11666510115967.

It is an arithmetic number, because the mean of its divisors is an integer number (11666510115967).

Almost surely, 223333020231933 is an apocalyptic number.

It is an amenable number.

23333020231933 is a deficient number, since it is larger than the sum of its proper divisors (1).

23333020231933 is an equidigital number, since it uses as much as digits as its factorization.

23333020231933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 37.

The spelling of 23333020231933 in words is "twenty-three trillion, three hundred thirty-three billion, twenty million, two hundred thirty-one thousand, nine hundred thirty-three".