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212441444011134 = 233131555011946117
BaseRepresentation
bin110000010011011011100000…
…110011100100110001111110
31000212012012111111111102202000
4300103123200303210301332
5210321120034131324014
62031454130240443130
762514250011450042
oct6023334063446176
91025165444442660
10212441444011134
1161765a01897518
121b9b06a99194a6
1391701b058a2c0
143a66313a60022
15198615202a509
hexc136e0ce4c7e

212441444011134 has 64 divisors (see below), whose sum is σ = 508410405276480. Its totient is φ = 65366144208000.

The previous prime is 212441444011133. The next prime is 212441444011157. The reversal of 212441444011134 is 431110444144212.

212441444011134 is a `hidden beast` number, since 2 + 1 + 2 + 441 + 44 + 40 + 1 + 1 + 134 = 666.

212441444011134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212441444011133) 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, 108188644 + ... + 110134760.

It is an arithmetic number, because the mean of its divisors is an integer number (7943912582445).

Almost surely, 2212441444011134 is an apocalyptic number.

212441444011134 is an abundant number, since it is smaller than the sum of its proper divisors (295968961265346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212441444011134 is a wasteful number, since it uses less digits than its factorization.

212441444011134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101642 (or 2101636 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 212441444011134 its reverse (431110444144212), we get a palindrome (643551888155346).

The spelling of 212441444011134 in words is "two hundred twelve trillion, four hundred forty-one billion, four hundred forty-four million, eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 155501 311002 466503 933006 1399509 1946117 2021513 2799018 3892234 4043026 4198527 5838351 6064539 8397054 11676702 12129078 17515053 18193617 25299521 35030106 36387234 50599042 52545159 54580851 75898563 105090318 109161702 151797126 227695689 455391378 683087067 1366174134 302623139617 605246279234 907869418851 1815738837702 2723608256553 3934100815021 5447216513106 7868201630042 8170824769659 11802302445063 16341649539318 23604604890126 35406907335189 70813814670378 106220722005567 212441444011134