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213131210012311 = 7324112114546127
BaseRepresentation
bin110000011101011101111010…
…000100000011011010010111
31000221122010220110220211022111
4300131131322010003122113
5210413420204230343221
62033143043132011451
762615136032642233
oct6035357204033227
91027563813824274
10213131210012311
1161a01490807348
121baa230b000b87
1391c025770a626
143a8b869acd5c3
151999072901be1
hexc1d77a103697

213131210012311 has 8 divisors (see below), whose sum is σ = 216947292060224. Its totient is φ = 209339357057280.

The previous prime is 213131210012293. The next prime is 213131210012321. The reversal of 213131210012311 is 113210012131312.

213131210012311 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 a de Polignac number, because none of the positive numbers 2k-213131210012311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131210012321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6057255471 + ... + 6057290656.

It is an arithmetic number, because the mean of its divisors is an integer number (27118411507528).

Almost surely, 2213131210012311 is an apocalyptic number.

213131210012311 is a deficient number, since it is larger than the sum of its proper divisors (3816082047913).

213131210012311 is a wasteful number, since it uses less digits than its factorization.

213131210012311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114546441.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 213131210012311 its reverse (113210012131312), we get a palindrome (326341222143623).

The spelling of 213131210012311 in words is "two hundred thirteen trillion, one hundred thirty-one billion, two hundred ten million, twelve thousand, three hundred eleven".

Divisors: 1 73 241 17593 12114546127 884361867271 2919605616607 213131210012311