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232004212342133 = 73111929111598271
BaseRepresentation
bin110100110000000110110000…
…101010011011110101110101
31010102110101102110102211010012
4310300012300222123311311
5220402124111324422013
62141233132550510005
766603515442566000
oct6460066052336565
91112411373384105
10232004212342133
1167a18485591180
122202bb79365305
139c5bb9886cb1a
1441410c708a537
151bc4e66a621a8
hexd301b0a9bd75

232004212342133 has 64 divisors (see below), whose sum is σ = 321403023360000. Its totient is φ = 165361852555200.

The previous prime is 232004212342129. The next prime is 232004212342159. The reversal of 232004212342133 is 331243212400232.

232004212342133 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 232004212342133 - 22 = 232004212342129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232004212342133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232004212342193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53720213 + ... + 57878058.

It is an arithmetic number, because the mean of its divisors is an integer number (5021922240000).

Almost surely, 2232004212342133 is an apocalyptic number.

It is an amenable number.

232004212342133 is a deficient number, since it is larger than the sum of its proper divisors (89398811017867).

232004212342133 is a wasteful number, since it uses less digits than its factorization.

232004212342133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111598351 (or 111598337 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 232004212342133 its reverse (331243212400232), we get a palindrome (563247424742365).

The spelling of 232004212342133 in words is "two hundred thirty-two trillion, four billion, two hundred twelve million, three hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 7 11 19 29 49 77 133 203 209 319 343 539 551 931 1421 1463 2233 3773 3857 6061 6517 9947 10241 15631 26999 42427 71687 109417 188993 296989 2078923 111598271 781187897 1227580981 2120367149 3236349859 5468315279 8593066867 14842570043 22654449013 23324038639 35599848449 38278206953 60151468069 61490647321 103897990301 158581143091 163268270473 249198939143 421060276483 430434531247 676397120531 727285932107 1110068001637 1142877893311 1744392574001 3013041718729 4734779843717 8000145253177 12210748018007 21091292031103 33143458906019 232004212342133