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13022122123221 = 313169463477019
BaseRepresentation
bin1011110101111111001011…
…1101101001111111010101
31201002220101002011211022120
42331133302331221333111
53201323301230420341
643410140314250153
72512550216503431
oct275376275517725
951086332154276
1013022122123221
1141707184a8362
121563936426959
13735c99bc8863
143303ba0b59c1
15178b0688a066
hexbd7f2f69fd5

13022122123221 has 16 divisors (see below), whose sum is σ = 17495658723840. Its totient is φ = 8615002322160.

The previous prime is 13022122123159. The next prime is 13022122123271. The reversal of 13022122123221 is 12232122122031.

It is not a de Polignac number, because 13022122123221 - 27 = 13022122123093 is a prime.

It is a super-3 number, since 3×130221221232213 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13022122123191 and 13022122123200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022122123271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27060450 + ... + 27537468.

It is an arithmetic number, because the mean of its divisors is an integer number (1093478670240).

Almost surely, 213022122123221 is an apocalyptic number.

It is an amenable number.

13022122123221 is a deficient number, since it is larger than the sum of its proper divisors (4473536600619).

13022122123221 is a wasteful number, since it uses less digits than its factorization.

13022122123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546616.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13022122123221 its reverse (12232122122031), we get a palindrome (25254244245252).

The spelling of 13022122123221 in words is "thirteen trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 131 393 69463 208389 477019 1431057 9099653 27298959 62489489 187468467 33135170797 99405512391 4340707374407 13022122123221