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213211003303131 = 3315363667679417
BaseRepresentation
bin110000011110101000001110…
…000111010011010011011011
31000221220202212102001222121220
4300132220032013103103123
5210421222113321200011
62033243441023103123
762623662264504201
oct6036501607232333
91027822772058556
10213211003303131
1161a32307a68799
121bab5879741aa3
1391c7932a79402
143a9167921b071
15199b192b8d506
hexc1ea0e1d34db

213211003303131 has 32 divisors (see below), whose sum is σ = 298993664268288. Its totient is φ = 134957781054720.

The previous prime is 213211003303097. The next prime is 213211003303261. The reversal of 213211003303131 is 131303300112312.

213211003303131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213211003303131 - 211 = 213211003301083 is a prime.

It is a super-3 number, since 3×2132110033031313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (213211003343131) 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, 313474935 + ... + 314154351.

It is an arithmetic number, because the mean of its divisors is an integer number (9343552008384).

Almost surely, 2213211003303131 is an apocalyptic number.

213211003303131 is a deficient number, since it is larger than the sum of its proper divisors (85782660965157).

213211003303131 is a wasteful number, since it uses less digits than its factorization.

213211003303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743171.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 213211003303131 its reverse (131303300112312), we get a palindrome (344514303415443).

The spelling of 213211003303131 in words is "two hundred thirteen trillion, two hundred eleven billion, three million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 31 53 93 159 1643 4929 63667 191001 679417 1973677 2038251 3374351 5921031 10123053 21061927 36009101 63185781 104604881 108027303 313814643 1116282131 3348846393 43256442139 129769326417 1340949706309 2292591433367 4022849118927 6877774300101 71070334434377 213211003303131