Search a number
-
+
2012221101020 = 22513131577910223
BaseRepresentation
bin11101010010000001101…
…110010101001111011100
321010100220011000002220012
4131102001232111033130
5230432012100213040
64140222425342352
7265243500102134
oct35220156251734
97110804002805
102012221101020
11706418397979
12285b949379b8
131179a04607b0
146d56b9c3ac4
1537520d74865
hex1d481b953dc

2012221101020 has 96 divisors (see below), whose sum is σ = 4586695787520. Its totient is φ = 737102695680.

The previous prime is 2012221101019. The next prime is 2012221101047. The reversal of 2012221101020 is 201011222102.

It is a junction number, because it is equal to n+sod(n) for n = 2012221100986 and 2012221101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196827629 + ... + 196837851.

It is an arithmetic number, because the mean of its divisors is an integer number (47778081120).

Almost surely, 22012221101020 is an apocalyptic number.

2012221101020 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 2012221101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293347893760).

2012221101020 is an abundant number, since it is smaller than the sum of its proper divisors (2574474686500).

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

2012221101020 is a wasteful number, since it uses less digits than its factorization.

2012221101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16155 (or 16153 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2012221101020 its reverse (201011222102), we get a palindrome (2213232323122).

The spelling of 2012221101020 in words is "two trillion, twelve billion, two hundred twenty-one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 260 262 524 655 1310 1703 2620 3406 5779 6812 8515 10223 11558 17030 20446 23116 28895 34060 40892 51115 57790 75127 102230 115580 132899 150254 204460 265798 300508 375635 531596 664495 751270 757049 1328990 1339213 1502540 1514098 2657980 2678426 3028196 3785245 5356852 6696065 7570490 9841637 13392130 15140980 17409769 19683274 26784260 34819538 39366548 49208185 59078717 69639076 87048845 98416370 118157434 174097690 196832740 236314868 295393585 348195380 590787170 768023321 1181574340 1536046642 3072093284 3840116605 7680233210 7739311927 15360466420 15478623854 30957247708 38696559635 77393119270 100611055051 154786238540 201222110102 402444220204 503055275255 1006110550510 2012221101020