Search a number
-
+
21142003213213 = 371123508820563
BaseRepresentation
bin1001100111010100000011…
…00101110110001110011101
32202212011012112222120210221
410303222001211312032131
510232342310310310323
6112544300250201341
74311313356123661
oct463520145661635
982764175876727
1021142003213213
116811300708883
122455566123251
13ba48b417230c
145313c7d868a1
15269e4311855d
hex133a8197639d

21142003213213 has 8 divisors (see below), whose sum is σ = 21732743929568. Its totient is φ = 20552280140304.

The previous prime is 21142003213129. The next prime is 21142003213241. The reversal of 21142003213213 is 31231230024112.

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 21142003213213 - 241 = 18942979957661 is a prime.

It is a super-3 number, since 3×211420032132133 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142003213283) 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 7 ways as a sum of consecutive naturals, for example, 254368731 + ... + 254451832.

It is an arithmetic number, because the mean of its divisors is an integer number (2716592991196).

Almost surely, 221142003213213 is an apocalyptic number.

It is an amenable number.

21142003213213 is a deficient number, since it is larger than the sum of its proper divisors (590740716355).

21142003213213 is a wasteful number, since it uses less digits than its factorization.

21142003213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508821723.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21142003213213 its reverse (31231230024112), we get a palindrome (52373233237325).

The spelling of 21142003213213 in words is "twenty-one trillion, one hundred forty-two billion, three million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 37 1123 41551 508820563 18826360831 571405492249 21142003213213