Search a number
-
+
2301100112220 = 2235721360206701
BaseRepresentation
bin100001011111000100010…
…000010011100101011100
322010222112121211100222020
4201133010100103211130
5300200123112042340
64521035533220140
7325151256141600
oct41370420234534
98128477740866
102301100112220
11807989029738
12311b75931650
13138cba282a50
147d533b5d500
153eccc0459d0
hex217c441395c

2301100112220 has 144 divisors (see below), whose sum is σ = 8071551296928. Its totient is φ = 485506828800.

The previous prime is 2301100112189. The next prime is 2301100112239. The reversal of 2301100112220 is 222110011032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2301100112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30065131 + ... + 30141570.

It is an arithmetic number, because the mean of its divisors is an integer number (56052439562).

Almost surely, 22301100112220 is an apocalyptic number.

2301100112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301100112220 is an abundant number, since it is smaller than the sum of its proper divisors (5770451184708).

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

2301100112220 is a wasteful number, since it uses less digits than its factorization.

2301100112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60206740 (or 60206731 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2301100112220 its reverse (222110011032), we get a palindrome (2523210123252).

The spelling of 2301100112220 in words is "two trillion, three hundred one billion, one hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 60206701 120413402 180620103 240826804 301033505 361240206 421446907 602067010 722480412 782687113 842893814 903100515 1204134020 1264340721 1565374226 1685787628 1806201030 2107234535 2348061339 2528681442 2950128349 3130748452 3612402060 3913435565 4214469070 4696122678 5057362884 5478809791 5900256698 6321703605 7826871130 8428938140 8850385047 9392245356 10957619582 11740306695 11800513396 12643407210 14750641745 15653742260 16436429373 17700770094 21915239164 23480613390 25286814420 27394048955 29501283490 32872858746 35401540188 38351668537 44251925235 46961226780 54788097910 59002566980 65745717492 76703337074 82182146865 88503850470 109576195820 115055005611 153406674148 164364293730 177007700940 191758342685 230110011222 328728587460 383516685370 460220022444 575275028055 767033370740 1150550056110 2301100112220