Search a number
-
+
2001020120220 = 2235115011960493
BaseRepresentation
bin11101000111100110000…
…101111110110010011100
321002021222112101022211110
4131013212011332302130
5230241042122321340
64131131141422020
7264366100245342
oct35074605766234
97067875338743
102001020120220
1170169a767250
1228398970a910
131169069c75c4
146cbc8157992
15370b7835680
hex1d1e617ec9c

2001020120220 has 96 divisors (see below), whose sum is σ = 6112429908480. Its totient is φ = 485078088960.

The previous prime is 2001020120191. The next prime is 2001020120237. The reversal of 2001020120220 is 220210201002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001020120196 and 2001020120205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33048294 + ... + 33108786.

It is an arithmetic number, because the mean of its divisors is an integer number (63671144880).

Almost surely, 22001020120220 is an apocalyptic number.

2001020120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001020120220 is an abundant number, since it is smaller than the sum of its proper divisors (4111409788260).

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

2001020120220 is a wasteful number, since it uses less digits than its factorization.

2001020120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110635 (or 110633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001020120220 its reverse (220210201002), we get a palindrome (2221230321222).

The spelling of 2001020120220 in words is "two trillion, one billion, twenty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 50119 60493 100238 120986 150357 181479 200476 241972 250595 300714 302465 362958 501190 551309 601428 604930 665423 725916 751785 907395 1002380 1102618 1209860 1330846 1503570 1653927 1814790 1996269 2205236 2661692 2756545 3007140 3307854 3327115 3629580 3992538 5513090 6615708 6654230 7985076 8269635 9981345 11026180 13308460 16539270 19962690 33078540 39925380 3031848667 6063697334 9095546001 12127394668 15159243335 18191092002 30318486670 33350335337 36382184004 45477730005 60636973340 66700670674 90955460010 100051006011 133401341348 166751676685 181910920020 200102012022 333503353370 400204024044 500255030055 667006706740 1000510060110 2001020120220