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213131000223 = 33101129160539
BaseRepresentation
bin1100011001111110011…
…0001111100110011111
3202101010110120121111000
43012133212033212133
511442443014001343
6241524441001343
721253404416331
oct3063746174637
9671113517430
10213131000223
118242a990aa9
1235381183253
13171378999ab
14a45bdcb451
155826150ed3
hex319f98f99f

213131000223 has 32 divisors (see below), whose sum is σ = 319128134400. Its totient is φ = 140569236000.

The previous prime is 213131000213. The next prime is 213131000233. The reversal of 213131000223 is 322000131312.

213131000223 is a `hidden beast` number, since 2 + 131 + 310 + 0 + 0 + 223 = 666.

It is an interprime number because it is at equal distance from previous prime (213131000213) and next prime (213131000233).

It is not a de Polignac number, because 213131000223 - 24 = 213131000207 is a prime.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 213131000196 and 213131000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3490288 + ... + 3550826.

It is an arithmetic number, because the mean of its divisors is an integer number (9972754200).

Almost surely, 2213131000223 is an apocalyptic number.

213131000223 is a deficient number, since it is larger than the sum of its proper divisors (105997134177).

213131000223 is a wasteful number, since it uses less digits than its factorization.

213131000223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61940 (or 61934 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213131000223 its reverse (322000131312), we get a palindrome (535131131535).

The spelling of 213131000223 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 27 101 303 909 1291 2727 3873 11619 34857 60539 130391 181617 391173 544851 1173519 1634553 3520557 6114439 18343317 55029951 78155849 165089853 234467547 703402641 2110207923 7893740749 23681222247 71043666741 213131000223