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230201300232120 = 23357416684126023
BaseRepresentation
bin110100010101110111101010…
…101110100010011110111000
31010012002000210102020010201010
4310111313222232202132320
5220133104230324411440
62133333003431153520
766326331550526160
oct6425675256423670
91105060712203633
10230201300232120
11673929067111a8
122199a6798158a0
139b5ab74206ac9
1440bbb33a335a0
151b930e6526580
hexd15deaba27b8

230201300232120 has 128 divisors (see below), whose sum is σ = 808511883863040. Its totient is φ = 51334087848960.

The previous prime is 230201300232103. The next prime is 230201300232151. The reversal of 230201300232120 is 21232003102032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3342028572 + ... + 3342097451.

It is an arithmetic number, because the mean of its divisors is an integer number (6316499092680).

Almost surely, 2230201300232120 is an apocalyptic number.

230201300232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230201300232120 is an abundant number, since it is smaller than the sum of its proper divisors (578310583630920).

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

230201300232120 is a wasteful number, since it uses less digits than its factorization.

230201300232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684126085 (or 6684126081 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230201300232120 its reverse (21232003102032), we get a palindrome (251433303334152).

The spelling of 230201300232120 in words is "two hundred thirty trillion, two hundred one billion, three hundred million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 6684126023 13368252046 20052378069 26736504092 33420630115 40104756138 46788882161 53473008184 66841260230 80209512276 93577764322 100261890345 133682520460 140366646483 160419024552 187155528644 200523780690 233944410805 267365040920 274049166943 280733292966 374311057288 401047561380 467888821610 548098333886 561466585932 701833232415 802095122760 822147500829 935777643220 1096196667772 1122933171864 1370245834715 1403666464830 1644295001658 1871555286440 1918344168601 2192393335544 2740491669430 2807332929660 3288590003316 3836688337202 4110737504145 5480983338860 5614665859320 5755032505803 6577180006632 7673376674404 8221475008290 9591720843005 10961966677720 11510065011606 15346753348808 16442950016580 19183441686010 23020130023212 28775162529015 32885900033160 38366883372020 46040260046424 57550325058030 76733766744040 115100650116060 230201300232120