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232403011020 = 2232523371517189
BaseRepresentation
bin1101100001110001001…
…1001000010111001100
3211012212120021012021200
43120130103020113030
512301430132323040
6254433043025500
722535106666615
oct3303423102714
9735776235250
10232403011020
118a61a493a54
123905b36b290
1318bb94b558b
14b369730c0c
1560a301b630
hex361c4c85cc

232403011020 has 144 divisors (see below), whose sum is σ = 755487794880. Its totient is φ = 57677419008.

The previous prime is 232403010893. The next prime is 232403011021. The reversal of 232403011020 is 20110304232.

232403011020 is a `hidden beast` number, since 23 + 240 + 301 + 102 + 0 = 666.

It is a super-2 number, since 2×2324030110202 (a number of 24 digits) contains 22 as substring.

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 = 232403010984 and 232403011002.

It is not an unprimeable number, because it can be changed into a prime (232403011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605415 + ... + 911774.

It is an arithmetic number, because the mean of its divisors is an integer number (5246443020).

Almost surely, 2232403011020 is an apocalyptic number.

232403011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232403011020 is an abundant number, since it is smaller than the sum of its proper divisors (523084783860).

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

232403011020 is a wasteful number, since it uses less digits than its factorization.

232403011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517264 (or 1517259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232403011020 its reverse (20110304232), we get a palindrome (252513315252).

The spelling of 232403011020 in words is "two hundred thirty-two billion, four hundred three million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 1035 1110 1332 1380 1665 1702 2070 2220 2553 3330 3404 4140 4255 5106 6660 7659 8510 10212 12765 15318 17020 25530 30636 38295 51060 76590 153180 1517189 3034378 4551567 6068756 7585945 9103134 13654701 15171890 18206268 22757835 27309402 30343780 34895347 45515670 54618804 56135993 68273505 69790694 91031340 104686041 112271986 136547010 139581388 168407979 174476735 209372082 224543972 273094020 280679965 314058123 336815958 348953470 418744164 505223937 523430205 561359930 628116246 673631916 697906940 842039895 1010447874 1046860410 1122719860 1256232492 1291127839 1570290615 1684079790 2020895748 2093720820 2526119685 2582255678 3140581230 3368159580 3873383517 5052239370 5164511356 6281162460 6455639195 7746767034 10104478740 11620150551 12911278390 15493534068 19366917585 23240301102 25822556780 38733835170 46480602204 58100752755 77467670340 116201505510 232403011020