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232112031120 = 243252314016427
BaseRepresentation
bin1101100000101011110…
…1001000010110010000
3211012010021201212220100
43120022331020112100
512300331134443440
6254344130212400
722524644465664
oct3301275102620
9735107655810
10232112031120
118a4902104a2
1238b99a24100
1318b71125318
14b33cc288a4
1560876e0230
hex360af48590

232112031120 has 120 divisors (see below), whose sum is σ = 813401349696. Its totient is φ = 59205383424.

The previous prime is 232112031077. The next prime is 232112031121. The reversal of 232112031120 is 21130211232.

232112031120 is a `hidden beast` number, since 2 + 321 + 12 + 0 + 311 + 20 = 666.

232112031120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232112031093 and 232112031102.

It is not an unprimeable number, because it can be changed into a prime (232112031121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6991654 + ... + 7024773.

Almost surely, 2232112031120 is an apocalyptic number.

232112031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232112031120 is an abundant number, since it is smaller than the sum of its proper divisors (581289318576).

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

232112031120 is a wasteful number, since it uses less digits than its factorization.

232112031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14016469 (or 14016460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232112031120 its reverse (21130211232), we get a palindrome (253242242352).

The spelling of 232112031120 in words is "two hundred thirty-two billion, one hundred twelve million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 14016427 28032854 42049281 56065708 70082135 84098562 112131416 126147843 140164270 168197124 210246405 224262832 252295686 280328540 322377821 336394248 420492810 504591372 560657080 630739215 644755642 672788496 840985620 967133463 1009182744 1121314160 1261478430 1289511284 1611889105 1681971240 1934266926 2018365488 2522956860 2579022568 2901400389 3223778210 3363942480 3868533852 4835667315 5045913720 5158045136 5802800778 6447556420 7737067704 9671334630 10091827440 11605601556 12895112840 14507001945 15474135408 19342669260 23211203112 25790225680 29014003890 38685338520 46422406224 58028007780 77370677040 116056015560 232112031120