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23228808101 = 277809103657
BaseRepresentation
bin10101101000100010…
…110111101110100101
32012221212002201021222
4111220202313232211
5340033033324401
614400545550125
71451426416412
oct255042675645
965855081258
1023228808101
119940069374
124603345345
1322625c1a85
1411a504d109
1590e459c1b
hex5688b7ba5

23228808101 has 8 divisors (see below), whose sum is σ = 23341708440. Its totient is φ = 23116117248.

The previous prime is 23228808067. The next prime is 23228808133. The reversal of 23228808101 is 10180882232.

It is a Cunningham number, because it is equal to 1524102+1.

It can be written as a sum of positive squares in 4 ways, for example, as 129367876 + 23099440225 = 11374^2 + 151985^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23228808101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23228808151) 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 in 7 ways as a sum of consecutive naturals, for example, 172265 + ... + 275921.

It is an arithmetic number, because the mean of its divisors is an integer number (2917713555).

Almost surely, 223228808101 is an apocalyptic number.

It is an amenable number.

23228808101 is a deficient number, since it is larger than the sum of its proper divisors (112900339).

23228808101 is a wasteful number, since it uses less digits than its factorization.

23228808101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104743.

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 23228808101 in words is "twenty-three billion, two hundred twenty-eight million, eight hundred eight thousand, one hundred one".

Divisors: 1 277 809 103657 224093 28712989 83858513 23228808101