Search a number
-
+
20021001201201 = 37211132371980101
BaseRepresentation
bin1001000110101100000001…
…01010100010011000110001
32121212222200222221001202110
410203112000222202120301
510111011002301414301
6110325304310435533
74134320034211500
oct443260052423061
977788628831673
1020021001201201
11641994a260370
1222b4254962ba9
13b22c84229500
144d30434c4837
1524abd396e0d6
hex123580aa2631

20021001201201 has 144 divisors (see below), whose sum is σ = 37673705786688. Its totient is φ = 9341002944000.

The previous prime is 20021001201199. The next prime is 20021001201233. The reversal of 20021001201201 is 10210210012002.

It is not a de Polignac number, because 20021001201201 - 21 = 20021001201199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20021001201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9121051 + ... + 11101151.

It is an arithmetic number, because the mean of its divisors is an integer number (261622956852).

Almost surely, 220021001201201 is an apocalyptic number.

20021001201201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20021001201201 is a deficient number, since it is larger than the sum of its proper divisors (17652704585487).

20021001201201 is a wasteful number, since it uses less digits than its factorization.

20021001201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980192 (or 1980172 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20021001201201 its reverse (10210210012002), we get a palindrome (30231211213203).

It can be divided in two parts, 20021001 and 201201, that added together give a palindrome (20222202).

The spelling of 20021001201201 in words is "twenty trillion, twenty-one billion, one million, two hundred one thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 49 77 91 111 143 147 169 231 259 273 407 429 481 507 539 637 777 1001 1183 1221 1443 1617 1813 1859 1911 2849 3003 3367 3549 5291 5439 5577 6253 7007 8281 8547 10101 13013 15873 18759 19943 21021 23569 24843 37037 39039 43771 59829 68783 70707 91091 111111 131313 206349 259259 273273 306397 481481 777777 919191 1444443 1980101 3370367 5940303 10111101 13860707 21781111 25741313 41582121 65343333 73263737 77223939 97024949 152467777 180189191 219791211 283154443 291074847 334637069 457403331 512846159 540567573 805901107 849463329 952428581 1003911207 1067274439 1261324337 1538538477 1982081101 2342459483 2417703321 2857285743 3201823317 3589923113 3681007759 3783973011 5641307749 5946243303 6667000067 7027378449 10476714391 10769769339 11043023277 12381571553 13874567707 16397216381 16923923247 20001000201 25767054313 31430143173 37144714659 39489154243 41623703121 46669000469 49191649143 73337000737 77301162939 86671000871 118467462729 136197287083 140007001407 180369380191 220011002211 260013002613 408591861249 513359005159 541108140573 606697006097 953381009581 1540077015477 1820091018291 2860143028743 6673667067067 20021001201201