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11222023322313 = 337333117201113
BaseRepresentation
bin1010001101001101010010…
…1101101011101011001001
31110201211000002201001111000
42203103110231223223021
52432330200432303223
635511154253525213
72235523125243156
oct243232455535311
943654002631430
1011222023322313
113637262676131
121312aa0aa3809
1363530336c89b
142ab21254922d
15146d9d317543
hexa34d4b6bac9

11222023322313 has 32 divisors (see below), whose sum is σ = 16903878750080. Its totient is φ = 7356571580160.

The previous prime is 11222023322309. The next prime is 11222023322317. The reversal of 11222023322313 is 31322332022211.

11222023322313 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 0 + 23 + 322 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (11222023322309) and next prime (11222023322317).

It is not a de Polignac number, because 11222023322313 - 22 = 11222023322309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11222023322317) 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 in 31 ways as a sum of consecutive naturals, for example, 7948156 + ... + 9252957.

It is an arithmetic number, because the mean of its divisors is an integer number (528246210940).

Almost surely, 211222023322313 is an apocalyptic number.

It is an amenable number.

11222023322313 is a deficient number, since it is larger than the sum of its proper divisors (5681855427767).

11222023322313 is a wasteful number, since it uses less digits than its factorization.

11222023322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17201526 (or 17201520 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11222023322313 its reverse (31322332022211), we get a palindrome (42544355344524).

The spelling of 11222023322313 in words is "eleven trillion, two hundred twenty-two billion, twenty-three million, three hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 27 73 219 331 657 993 1971 2979 8937 24163 72489 217467 652401 17201113 51603339 154810017 464430051 1255681249 3767043747 5693568403 11301131241 17080705209 33903393723 51242115627 153726346881 415630493419 1246891480257 3740674440771 11222023322313