Search a number
-
+
213553102417 = 1743292138307
BaseRepresentation
bin1100011011100011000…
…0011011111001010001
3202102012212211121211121
43012320300123321101
511444324043234132
6242034400042241
721300021264064
oct3067060337121
9672185747747
10213553102417
1182627182696
123547a603381
13171a41794c5
14a49c0a68db
15584d22d497
hex31b8c1be51

213553102417 has 8 divisors (see below), whose sum is σ = 231373539936. Its totient is φ = 196316941632.

The previous prime is 213553102397. The next prime is 213553102421. The reversal of 213553102417 is 714201355312.

213553102417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213553102417 - 231 = 211405618769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213533102417) 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 7 ways as a sum of consecutive naturals, for example, 146068423 + ... + 146069884.

It is an arithmetic number, because the mean of its divisors is an integer number (28921692492).

Almost surely, 2213553102417 is an apocalyptic number.

It is an amenable number.

213553102417 is a deficient number, since it is larger than the sum of its proper divisors (17820437519).

213553102417 is a wasteful number, since it uses less digits than its factorization.

213553102417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292138367.

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 213553102417 its reverse (714201355312), we get a palindrome (927754457729).

The spelling of 213553102417 in words is "two hundred thirteen billion, five hundred fifty-three million, one hundred two thousand, four hundred seventeen".

Divisors: 1 17 43 731 292138307 4966351219 12561947201 213553102417