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23220101101 is a prime number
BaseRepresentation
bin10101101000000001…
…101001111111101101
32012221020201100112111
4111220001221333231
5340023321213401
614400035204021
71451262413521
oct255001517755
965836640474
1023220101101
1199361616aa
124600446611
1322608638c2
1411a3c23d81
1590d7d9e51
hex568069fed

23220101101 has 2 divisors, whose sum is σ = 23220101102. Its totient is φ = 23220101100.

The previous prime is 23220101071. The next prime is 23220101111. The reversal of 23220101101 is 10110102232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17187472201 + 6032628900 = 131101^2 + 77670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23220101101 is a prime.

It is a super-2 number, since 2×232201011012 (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 (23220101111) 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, 11610050550 + 11610050551.

It is an arithmetic number, because the mean of its divisors is an integer number (11610050551).

Almost surely, 223220101101 is an apocalyptic number.

It is an amenable number.

23220101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23220101101 is an equidigital number, since it uses as much as digits as its factorization.

23220101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 23220101101 its reverse (10110102232), we get a palindrome (33330203333).

The spelling of 23220101101 in words is "twenty-three billion, two hundred twenty million, one hundred one thousand, one hundred one".