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20131321222131 = 374725232028757
BaseRepresentation
bin1001001001111001100000…
…10000000001001111110011
32122021112110101111210022120
410210330300100001033303
510114312421213102011
6110452111251405323
74145303623005540
oct444746020011763
978245411453276
1020131321222131
116461711009989
1223117028b3843
13b304b5b13cc2
144d850adadbc7
1524d9ddbcca06
hex124f304013f3

20131321222131 has 16 divisors (see below), whose sum is σ = 30676379046144. Its totient is φ = 11503582111584.

The previous prime is 20131321222099. The next prime is 20131321222147. The reversal of 20131321222131 is 13122212313102.

It is not a de Polignac number, because 20131321222131 - 25 = 20131321222099 is a prime.

It is a super-2 number, since 2×201313212221312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20131321222031) 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 15 ways as a sum of consecutive naturals, for example, 8908605 + ... + 10937361.

It is an arithmetic number, because the mean of its divisors is an integer number (1917273690384).

Almost surely, 220131321222131 is an apocalyptic number.

20131321222131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20131321222131 is a deficient number, since it is larger than the sum of its proper divisors (10545057824013).

20131321222131 is a wasteful number, since it uses less digits than its factorization.

20131321222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501290.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 20131321222131 its reverse (13122212313102), we get a palindrome (33253533535233).

The spelling of 20131321222131 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 472523 1417569 2028757 3307661 6086271 9922983 14201299 42603897 958634343911 2875903031733 6710440407377 20131321222131