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213113320101 = 321117126627047
BaseRepresentation
bin1100011001111010001…
…0110011001010100101
3202101002020022100220200
43012132202303022211
511442424002220401
6241523010021113
721253101221643
oct3063642631245
9671066270820
10213113320101
1182420a05730
1235377277799
1317134019496
14a459908193
15582480c686
hex319e8b32a5

213113320101 has 24 divisors (see below), whose sum is σ = 355568750784. Its totient is φ = 121561964160.

The previous prime is 213113320097. The next prime is 213113320109. The reversal of 213113320101 is 101023311312.

213113320101 is a `hidden beast` number, since 21 + 311 + 3 + 320 + 10 + 1 = 666.

213113320101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213113320101 - 22 = 213113320097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213113320109) 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 23 ways as a sum of consecutive naturals, for example, 63311841 + ... + 63315206.

It is an arithmetic number, because the mean of its divisors is an integer number (14815364616).

Almost surely, 2213113320101 is an apocalyptic number.

It is an amenable number.

213113320101 is a deficient number, since it is larger than the sum of its proper divisors (142455430683).

213113320101 is a wasteful number, since it uses less digits than its factorization.

213113320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126627081 (or 126627078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213113320101 its reverse (101023311312), we get a palindrome (314136631413).

The spelling of 213113320101 in words is "two hundred thirteen billion, one hundred thirteen million, three hundred twenty thousand, one hundred one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 126627047 379881141 1139643423 1392897517 2152659799 4178692551 6457979397 12536077653 19373938191 23679257789 71037773367 213113320101