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12323232232101 = 3272177922399293
BaseRepresentation
bin1011001101010011100111…
…1000010011001010100101
31121122002102020112210200100
42303110321320103022211
53103400434422411401
642113114214334313
72411216116445100
oct263247170231245
947562366483610
1012323232232101
113a21287368a1a
1214703a965a399
136b50ca73b89b
1430863a3c1737
1516584eeb3b86
hexb3539e132a5

12323232232101 has 144 divisors (see below), whose sum is σ = 22214236262400. Its totient is φ = 6540100310016.

The previous prime is 12323232232099. The next prime is 12323232232177. The reversal of 12323232232101 is 10123223232321.

12323232232101 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 323 + 2 + 232 + 101 = 666.

12323232232101 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 12323232232101 - 21 = 12323232232099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323232232901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1326072211 + ... + 1326081503.

It is an arithmetic number, because the mean of its divisors is an integer number (154265529600).

Almost surely, 212323232232101 is an apocalyptic number.

It is an amenable number.

12323232232101 is a deficient number, since it is larger than the sum of its proper divisors (9891004030299).

12323232232101 is a wasteful number, since it uses less digits than its factorization.

12323232232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11648 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12323232232101 its reverse (10123223232321), we get a palindrome (22446455464422).

The spelling of 12323232232101 in words is "twelve trillion, three hundred twenty-three billion, two hundred thirty-two million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 9 17 21 49 51 63 79 119 147 153 237 357 441 553 711 833 1071 1343 1659 2239 2499 3871 4029 4977 6717 7497 9293 9401 11613 12087 15673 20151 27879 28203 34839 38063 47019 65051 65807 83637 84609 109711 114189 141057 157981 176881 195153 197421 266441 329133 342567 455357 473943 530643 585459 592263 734147 799323 987399 1105867 1238167 1366071 1421829 1591929 1865087 2202441 2397969 3006977 3317601 3714501 4098213 5139029 5595261 6607323 7741069 8667169 9020931 9952803 11143503 12480499 15417087 16785783 20807027 21048839 23223207 26001507 27062793 35973203 37441497 46251261 62421081 63146517 69669621 78004521 87363493 107919609 112324491 145649189 147341873 187263243 189439551 262090479 323758827 353719459 436947567 442025619 611544451 786271437 1019544323 1061158377 1310842701 1326076857 1643755133 1834633353 2476036213 3058632969 3183475131 4931265399 5503900059 7428108639 9175898907 11506285931 14793796197 17332253491 22284325917 27943837261 34518857793 51996760473 80544001517 83831511783 103556573379 155990281419 195606860827 241632004551 251494535349 586820582481 724896013653 1369248025789 1760461747443 4107744077367 12323232232101