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218322236131 = 1137723250169
BaseRepresentation
bin1100101101010100000…
…1001111001011100011
3202212112020210201101121
43023111001033023203
512034110443024011
6244143523113111
721526141250026
oct3132501171343
9685466721347
10218322236131
118465423540a
123638b812797
131778423470c
14a7d162d1bd
155a2bc7ee71
hex32d504f2e3

218322236131 has 8 divisors (see below), whose sum is σ = 220283691120. Its totient is φ = 216361297152.

The previous prime is 218322236107. The next prime is 218322236203. The reversal of 218322236131 is 131632223812.

218322236131 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 218322236131 - 29 = 218322235619 is a prime.

It is a super-2 number, since 2×2183222361312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218322216131) 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, 747615 + ... + 997783.

It is an arithmetic number, because the mean of its divisors is an integer number (27535461390).

Almost surely, 2218322236131 is an apocalyptic number.

218322236131 is a deficient number, since it is larger than the sum of its proper divisors (1961454989).

218322236131 is a wasteful number, since it uses less digits than its factorization.

218322236131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258005.

The product of its digits is 20736, while the sum is 34.

Adding to 218322236131 its reverse (131632223812), we get a palindrome (349954459943).

The spelling of 218322236131 in words is "two hundred eighteen billion, three hundred twenty-two million, two hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 113 7723 250169 872699 28269097 1932055187 218322236131