Search a number
-
+
22322123000017 is a prime number
BaseRepresentation
bin1010001001101010001100…
…01101100100100011010001
32221000222022010120020010221
411010311012031210203101
510411211201442000032
6115250350340553041
74462502005605541
oct504650615444321
987028263506127
1022322123000017
117126839551505
1226062159b2781
13c5bc75b33259
1457257a08b321
1528a9b284a597
hex144d463648d1

22322123000017 has 2 divisors, whose sum is σ = 22322123000018. Its totient is φ = 22322123000016.

The previous prime is 22322122999987. The next prime is 22322123000053. The reversal of 22322123000017 is 71000032122322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14543819540496 + 7778303459521 = 3813636^2 + 2788961^2 .

It is a cyclic number.

It is not a de Polignac number, because 22322123000017 - 235 = 22287763261649 is a prime.

It is a super-3 number, since 3×223221230000173 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322122999955 and 22322123000000.

It is not a weakly prime, because it can be changed into another prime (22322123000117) 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, 11161061500008 + 11161061500009.

It is an arithmetic number, because the mean of its divisors is an integer number (11161061500009).

Almost surely, 222322123000017 is an apocalyptic number.

It is an amenable number.

22322123000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

22322123000017 is an equidigital number, since it uses as much as digits as its factorization.

22322123000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 22322123000017 its reverse (71000032122322), we get a palindrome (93322155122339).

The spelling of 22322123000017 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred twenty-three million, seventeen", and thus it is an aban number.