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213312022133 = 7148720493037
BaseRepresentation
bin1100011010101001100…
…0110010011001110101
3202101121002012110212012
43012222120302121311
511443330334202013
6241554424534005
721261033162110
oct3065230623165
9671532173765
10213312022133
1182513091491
1235411921305
131716623aa52
14a47806d577
155836eac1a8
hex31aa632675

213312022133 has 8 divisors (see below), whose sum is σ = 243949124352. Its totient is φ = 182715908976.

The previous prime is 213312022117. The next prime is 213312022211. The reversal of 213312022133 is 331220213312.

213312022133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 213312022133 - 24 = 213312022117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213312022099 and 213312022108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312022103) 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, 10236110 + ... + 10256927.

It is an arithmetic number, because the mean of its divisors is an integer number (30493640544).

Almost surely, 2213312022133 is an apocalyptic number.

It is an amenable number.

213312022133 is a deficient number, since it is larger than the sum of its proper divisors (30637102219).

213312022133 is a wasteful number, since it uses less digits than its factorization.

213312022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20494531.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 213312022133 its reverse (331220213312), we get a palindrome (544532235445).

The spelling of 213312022133 in words is "two hundred thirteen billion, three hundred twelve million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 1487 10409 20493037 143451259 30473146019 213312022133