Search a number
-
+
213035214213 = 3417154709669
BaseRepresentation
bin1100011001100111100…
…0110110010110000101
3202100212210100011210000
43012121320312112011
511442244003323323
6241511135551513
721251132304663
oct3063170662605
9670783304700
10213035214213
1182390908608
123535508b599
1317120aa0293
14a44d3b5c33
15581ca2ee43
hex3199e36585

213035214213 has 20 divisors (see below), whose sum is σ = 336957661260. Its totient is φ = 133669153152.

The previous prime is 213035214211. The next prime is 213035214229. The reversal of 213035214213 is 312412530312.

213035214213 is a `hidden beast` number, since 2 + 130 + 3 + 521 + 4 + 2 + 1 + 3 = 666.

213035214213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 187192079649 + 25843134564 = 432657^2 + 160758^2 .

It is not a de Polignac number, because 213035214213 - 21 = 213035214211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213035214211) 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 19 ways as a sum of consecutive naturals, for example, 77353458 + ... + 77356211.

It is an arithmetic number, because the mean of its divisors is an integer number (16847883063).

Almost surely, 2213035214213 is an apocalyptic number.

It is an amenable number.

213035214213 is a deficient number, since it is larger than the sum of its proper divisors (123922447047).

213035214213 is a wasteful number, since it uses less digits than its factorization.

213035214213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154709698 (or 154709689 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 213035214213 its reverse (312412530312), we get a palindrome (525447744525).

The spelling of 213035214213 in words is "two hundred thirteen billion, thirty-five million, two hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 459 1377 154709669 464129007 1392387021 2630064373 4177161063 7890193119 12531483189 23670579357 71011738071 213035214213