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212130033111131 = 53113277311411157
BaseRepresentation
bin110000001110111001011111…
…010001010001000001011011
31000211002102200201221121220212
4300032321133101101001123
5210301014301434024011
62031055105240241335
762452613654461352
oct6016713721210133
91024072621847825
10212130033111131
1161655929522153
121b96027aa7024b
139149a12677375
143a5521124a999
15197cec7bb408b
hexc0ee5f45105b

212130033111131 has 32 divisors (see below), whose sum is σ = 219536504972928. Its totient is φ = 204879626864640.

The previous prime is 212130033111047. The next prime is 212130033111197. The reversal of 212130033111131 is 131111330031212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212130033111131 is a prime.

It is a super-2 number, since 2×2121300331111312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212130033111097 and 212130033111106.

It is not an unprimeable number, because it can be changed into a prime (212130033110131) 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 31 ways as a sum of consecutive naturals, for example, 515728805 + ... + 516139961.

It is an arithmetic number, because the mean of its divisors is an integer number (6860515780404).

Almost surely, 2212130033111131 is an apocalyptic number.

212130033111131 is a deficient number, since it is larger than the sum of its proper divisors (7406471861797).

212130033111131 is a wasteful number, since it uses less digits than its factorization.

212130033111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411911.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 212130033111131 its reverse (131111330031212), we get a palindrome (343241363142343).

The spelling of 212130033111131 in words is "two hundred twelve trillion, one hundred thirty billion, thirty-three million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 53 113 277 311 5989 14681 16483 31301 35143 86147 411157 1658953 1862579 4565791 9734611 21791321 46460741 113890489 127869827 515934383 2462419273 6036195917 6777100831 12869625257 14449290451 35419942079 682090138621 765812393903 1877256930187 4002453454927 212130033111131