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220210201120 = 25571315124327
BaseRepresentation
bin1100110100010110001…
…1010000001000100000
3210001101211100021110211
43031011203100020200
512101442302413440
6245055124503504
721624004553110
oct3150543201040
9701354307424
10220210201120
1185432a10458
1236817b4ab94
13179c5413370
14a930283040
155adc8b1eea
hex33458d0220

220210201120 has 96 divisors (see below), whose sum is σ = 640303550208. Its totient is φ = 69692894208.

The previous prime is 220210201111. The next prime is 220210201129. The reversal of 220210201120 is 21102012022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220210201111) and next prime (220210201129).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 220210201120.

It is not an unprimeable number, because it can be changed into a prime (220210201129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7547604 + ... + 7576723.

It is an arithmetic number, because the mean of its divisors is an integer number (6669828648).

Almost surely, 2220210201120 is an apocalyptic number.

220210201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220210201120 is an abundant number, since it is smaller than the sum of its proper divisors (420093349088).

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

220210201120 is a wasteful number, since it uses less digits than its factorization.

220210201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15124362 (or 15124354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220210201120 its reverse (21102012022), we get a palindrome (241312213142).

The spelling of 220210201120 in words is "two hundred twenty billion, two hundred ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 15124327 30248654 60497308 75621635 105870289 120994616 151243270 196616251 211740578 241989232 302486540 393232502 423481156 483978464 529351445 604973080 786465004 846962312 983081255 1058702890 1209946160 1376313757 1572930008 1693924624 1966162510 2117405780 2419892320 2752627514 3145860016 3387849248 3932325020 4234811560 5505255028 6291720032 6881568785 7864650040 8469623120 11010510056 13763137570 15729300080 16939246240 22021020112 27526275140 31458600160 44042040224 55052550280 110105100560 220210201120