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213032430303 = 37116116639091
BaseRepresentation
bin1100011001100110111…
…0001110101011011111
3202100212121002201222020
43012121232032223133
511442242300232203
6241511000151223
721251066531430
oct3063156165337
9670777081866
10213032430303
118238a286a60
1235354168513
13171203370b4
14a44cc8d487
15581c680153
hex3199b8eadf

213032430303 has 64 divisors (see below), whose sum is σ = 360193327104. Its totient is φ = 108774576000.

The previous prime is 213032430257. The next prime is 213032430307. The reversal of 213032430303 is 303034230312.

It is a happy number.

It is not a de Polignac number, because 213032430303 - 28 = 213032430047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213032430307) 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 63 ways as a sum of consecutive naturals, for example, 23428788 + ... + 23437878.

It is an arithmetic number, because the mean of its divisors is an integer number (5628020736).

Almost surely, 2213032430303 is an apocalyptic number.

213032430303 is a deficient number, since it is larger than the sum of its proper divisors (147160896801).

213032430303 is a wasteful number, since it uses less digits than its factorization.

213032430303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 213032430303 its reverse (303034230312), we get a palindrome (516066660615).

Subtracting 213032430303 from its reverse (303034230312), we obtain a square (90001800009 = 3000032).

The spelling of 213032430303 in words is "two hundred thirteen billion, thirty-two million, four hundred thirty thousand, three hundred three".

Divisors: 1 3 7 11 21 33 61 77 183 231 427 671 1281 1663 2013 4697 4989 9091 11641 14091 18293 27273 34923 54879 63637 100001 101443 128051 190911 300003 304329 384153 554551 700007 710101 1115873 1663653 2100021 2130303 3347619 3881857 6100061 7811111 11645571 15118333 18300183 23433333 42700427 45354999 105828331 128101281 166301663 317484993 498904989 922218313 1164111641 2766654939 3492334923 6455528191 10144401443 19366584573 30433204329 71010810101 213032430303