Search a number
-
+
120224201020 = 225711671165189
BaseRepresentation
bin110111111110111101…
…0111011100100111100
3102111022122001012110221
41233331322323210330
53432204343413040
6131121421511124
711454160563460
oct1577572734474
9374278035427
10120224201020
1146a94477720
121b372a124a4
13b44c795cb1
145b670284a0
1531d99e074a
hex1bfdebb93c

120224201020 has 96 divisors (see below), whose sum is σ = 319467133440. Its totient is φ = 36913155840.

The previous prime is 120224201017. The next prime is 120224201021. The reversal of 120224201020 is 20102422021.

It is a junction number, because it is equal to n+sod(n) for n = 120224200985 and 120224201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120224201021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479415 + ... + 685774.

It is an arithmetic number, because the mean of its divisors is an integer number (3327782640).

Almost surely, 2120224201020 is an apocalyptic number.

120224201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120224201020 is an abundant number, since it is smaller than the sum of its proper divisors (199242932420).

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

120224201020 is a wasteful number, since it uses less digits than its factorization.

120224201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165283 (or 1165281 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120224201020 its reverse (20102422021), we get a palindrome (140326623041).

The spelling of 120224201020 in words is "one hundred twenty billion, two hundred twenty-four million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 67 70 77 110 134 140 154 220 268 308 335 385 469 670 737 770 938 1340 1474 1540 1876 2345 2948 3685 4690 5159 7370 9380 10318 14740 20636 25795 51590 103180 1165189 2330378 4660756 5825945 8156323 11651890 12817079 16312646 23303780 25634158 32625292 40781615 51268316 64085395 78067663 81563230 89719553 128170790 156135326 163126460 179439106 256341580 312270652 358878212 390338315 448597765 546473641 780676630 858744293 897195530 1092947282 1561353260 1717488586 1794391060 2185894564 2732368205 3434977172 4293721465 5464736410 6011210051 8587442930 10929472820 12022420102 17174885860 24044840204 30056050255 60112100510 120224201020