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230203101101220 = 2232513347283508339
BaseRepresentation
bin110100010101111001010110…
…000100010011110010100100
31010012002012102220212202200200
4310111321112010103302210
5220133121422340214340
62133333502242110500
766326424305623332
oct6425712604236244
91105065386782620
10230203101101220
1167393650209875
122199aaa094b430
139b5b0a033c620
1440bbc64c94b52
151b9319e6a2330
hexd15e56113ca4

230203101101220 has 144 divisors (see below), whose sum is σ = 754163937334080. Its totient is φ = 56502077730048.

The previous prime is 230203101101209. The next prime is 230203101101221. The reversal of 230203101101220 is 22101101302032.

230203101101220 is a `hidden beast` number, since 2 + 3 + 0 + 20 + 310 + 110 + 1 + 220 = 666.

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 = 230203101101193 and 230203101101202.

It is not an unprimeable number, because it can be changed into a prime (230203101101221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140942190 + ... + 142566149.

It is an arithmetic number, because the mean of its divisors is an integer number (5237249564820).

Almost surely, 2230203101101220 is an apocalyptic number.

230203101101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230203101101220 is an abundant number, since it is smaller than the sum of its proper divisors (523960836232860).

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

230203101101220 is a wasteful number, since it uses less digits than its factorization.

230203101101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283508714 (or 283508709 counting only the distinct ones).

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

Adding to 230203101101220 its reverse (22101101302032), we get a palindrome (252304202403252).

The spelling of 230203101101220 in words is "two hundred thirty trillion, two hundred three billion, one hundred one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 347 390 468 585 694 780 1041 1170 1388 1735 2082 2340 3123 3470 4164 4511 5205 6246 6940 9022 10410 12492 13533 15615 18044 20820 22555 27066 31230 40599 45110 54132 62460 67665 81198 90220 135330 162396 202995 270660 405990 811980 283508339 567016678 850525017 1134033356 1417541695 1701050034 2551575051 2835083390 3402100068 3685608407 4252625085 5103150102 5670166780 7371216814 8505250170 10206300204 11056825221 12757875255 14742433628 17010500340 18428042035 22113650442 25515750510 33170475663 36856084070 44227300884 51031501020 55284126105 66340951326 73712168140 98377393633 110568252210 132681902652 165852378315 196754787266 221136504420 295132180899 331704756630 393509574532 491886968165 590264361798 663409513260 885396542697 983773936330 1180528723596 1278906117229 1475660904495 1770793085394 1967547872660 2557812234458 2951321808990 3541586170788 3836718351687 4426982713485 5115624468916 5902643617980 6394530586145 7673436703374 8853965426970 11510155055061 12789061172290 15346873406748 17707930853940 19183591758435 23020310110122 25578122344580 38367183516870 46040620220244 57550775275305 76734367033740 115101550550610 230203101101220