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213233011121 = 1319245436397
BaseRepresentation
bin1100011010010110101…
…1011000100110110001
3202101101120112022010102
43012211223120212301
511443200122323441
6241542523242145
721256053455234
oct3064553304661
9671346468112
10213233011121
1182482526329
12353ab379355
1317152a65880
14a46b78341b
1558300a169b
hex31a5ad89b1

213233011121 has 12 divisors (see below), whose sum is σ = 242357746932. Its totient is φ = 186470969184.

The previous prime is 213233011111. The next prime is 213233011139. The reversal of 213233011121 is 121110332312.

It is a happy number.

213233011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115474234225 + 97758776896 = 339815^2 + 312664^2 .

It is not a de Polignac number, because 213233011121 - 222 = 213228816817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213233011093 and 213233011102.

It is not an unprimeable number, because it can be changed into a prime (213233011111) 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 11 ways as a sum of consecutive naturals, for example, 22713506 + ... + 22722891.

It is an arithmetic number, because the mean of its divisors is an integer number (20196478911).

Almost surely, 2213233011121 is an apocalyptic number.

It is an amenable number.

213233011121 is a deficient number, since it is larger than the sum of its proper divisors (29124735811).

213233011121 is a wasteful number, since it uses less digits than its factorization.

213233011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45436448 (or 45436429 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213233011121 its reverse (121110332312), we get a palindrome (334343343433).

The spelling of 213233011121 in words is "two hundred thirteen billion, two hundred thirty-three million, eleven thousand, one hundred twenty-one".

Divisors: 1 13 19 247 361 4693 45436397 590673161 863291543 11222790059 16402539317 213233011121