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213112211331131 = 717117110267148957
BaseRepresentation
bin110000011101001100001101…
…101001110101100000111011
31000221120022212102112211020222
4300131030031221311200323
5210413112302100044011
62033130222012210255
762613564156551210
oct6035141551654073
91027508772484228
10213112211331131
11619a4421521a42
121ba9a6a846998b
1391bb51a612248
143a8a9867b9b07
15199880ea27ddb
hexc1d30da7583b

213112211331131 has 32 divisors (see below), whose sum is σ = 258130781563392. Its totient is φ = 171757755486720.

The previous prime is 213112211331053. The next prime is 213112211331157. The reversal of 213112211331131 is 131133112211312.

213112211331131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213112211331131 is a prime.

It is a super-3 number, since 3×2131122113311313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 213112211331131.

It is not an unprimeable number, because it can be changed into a prime (213112211331191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430621705 + ... + 1430770661.

It is an arithmetic number, because the mean of its divisors is an integer number (8066586923856).

Almost surely, 2213112211331131 is an apocalyptic number.

213112211331131 is a deficient number, since it is larger than the sum of its proper divisors (45018570232261).

213112211331131 is a wasteful number, since it uses less digits than its factorization.

213112211331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160419.

The product of its digits is 648, while the sum is 26.

Adding to 213112211331131 its reverse (131133112211312), we get a palindrome (344245323542443).

The spelling of 213112211331131 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred eleven million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 17 119 1171 8197 10267 19907 71869 139349 148957 174539 1042699 1221773 2532269 12022657 17725883 84158599 174428647 204385169 1221000529 1430696183 1529341519 2965286999 10705390633 20757008993 25998805823 181991640761 1790858918749 12536012431243 30444601618733 213112211331131