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23331100181 is a prime number
BaseRepresentation
bin10101101110101001…
…000101011000010101
32020012222120200122112
4111232221011120111
5340240230201211
614415042240405
71454111036144
oct255651053025
966188520575
1023331100181
119992885984
124631656105
13227a85892c
1411b487975b
1591841388b
hex56ea45615

23331100181 has 2 divisors, whose sum is σ = 23331100182. Its totient is φ = 23331100180.

The previous prime is 23331100153. The next prime is 23331100193. The reversal of 23331100181 is 18100113332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12549600625 + 10781499556 = 112025^2 + 103834^2 .

It is a cyclic number.

It is not a de Polignac number, because 23331100181 - 234 = 6151230997 is a prime.

It is a super-2 number, since 2×233311001812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23331100381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11665550090 + 11665550091.

It is an arithmetic number, because the mean of its divisors is an integer number (11665550091).

Almost surely, 223331100181 is an apocalyptic number.

It is an amenable number.

23331100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

23331100181 is an equidigital number, since it uses as much as digits as its factorization.

23331100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 23331100181 in words is "twenty-three billion, three hundred thirty-one million, one hundred thousand, one hundred eighty-one".