Search a number
-
+
213013132113 = 31731509127197
BaseRepresentation
bin1100011001100010010…
…0100111001101010001
3202100211020210021211110
43012120210213031101
511442222330211423
6241505030403533
721250443514455
oct3063044471521
9670736707743
10213013132113
118237a3a5a41
12353498005a9
131711933b252
14a44a4a8665
15581ab1c193
hex3198927351

213013132113 has 16 divisors (see below), whose sum is σ = 285688662336. Its totient is φ = 141173348160.

The previous prime is 213013132109. The next prime is 213013132117. The reversal of 213013132113 is 311231310312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213013132109) and next prime (213013132117).

It is not a de Polignac number, because 213013132113 - 22 = 213013132109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213013132113.

It is not an unprimeable number, because it can be changed into a prime (213013132117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7818631 + ... + 7845827.

It is an arithmetic number, because the mean of its divisors is an integer number (17855541396).

Almost surely, 2213013132113 is an apocalyptic number.

It is an amenable number.

213013132113 is a deficient number, since it is larger than the sum of its proper divisors (72675530223).

213013132113 is a wasteful number, since it uses less digits than its factorization.

213013132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42464.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213013132113 its reverse (311231310312), we get a palindrome (524244442425).

The spelling of 213013132113 in words is "two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 173 519 15091 27197 45273 81591 2610743 4705081 7832229 14115243 410429927 1231289781 71004377371 213013132113