Search a number
-
+
2020100120 = 2352331193367
BaseRepresentation
bin111100001101000…
…0100100000011000
312012210011201101222
41320122010200120
513114121200440
6532241431212
7101026365503
oct17032044030
95183151358
102020100120
11947326135
1248463b508
1326269421c
1415240c13a
15bc5332b5
hex78684818

2020100120 has 128 divisors (see below), whose sum is σ = 4934615040. Its totient is φ = 742072320.

The previous prime is 2020100119. The next prime is 2020100153. The reversal of 2020100120 is 210010202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2020100098 and 2020100107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5504177 + ... + 5504543.

It is an arithmetic number, because the mean of its divisors is an integer number (38551680).

Almost surely, 22020100120 is an apocalyptic number.

2020100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467307520).

2020100120 is an abundant number, since it is smaller than the sum of its proper divisors (2914514920).

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

2020100120 is a wasteful number, since it uses less digits than its factorization.

2020100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2020100120 is about 44945.5239150686. The cubic root of 2020100120 is about 1264.1277493993.

Adding to 2020100120 its reverse (210010202), we get a palindrome (2230110322).

The spelling of 2020100120 in words is "two billion, twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 193 230 248 310 367 386 460 620 713 734 772 920 965 1240 1426 1468 1544 1835 1930 2852 2936 3565 3670 3860 4439 5704 5983 7130 7340 7720 8441 8878 11377 11966 14260 14680 16882 17756 22195 22754 23932 28520 29915 33764 35512 42205 44390 45508 47864 56885 59830 67528 70831 84410 88780 91016 113770 119660 137609 141662 168820 177560 227540 239320 261671 275218 283324 337640 354155 455080 523342 550436 566648 688045 708310 1046684 1100872 1308355 1376090 1416620 1629113 2093368 2195761 2616710 2752180 2833240 3258226 4391522 5233420 5504360 6516452 8145565 8783044 10466840 10978805 13032904 16291130 17566088 21957610 32582260 43915220 50502503 65164520 87830440 101005006 202010012 252512515 404020024 505025030 1010050060 2020100120