Search a number
-
+
12133322220201 = 3713371537378137
BaseRepresentation
bin1011000010010000001001…
…0111000110001010101001
31120221221020002100121202220
42300210002113012022221
53042243020442021301
641445545443544253
72361414015126030
oct260440227061251
946857202317686
1012133322220201
113958793095166
12143b62908b089
136a0223956590
142dd3823a9717
15160937775936
hexb09025c62a9

12133322220201 has 64 divisors (see below), whose sum is σ = 20450822450688. Its totient is φ = 6226536572928.

The previous prime is 12133322220181. The next prime is 12133322220233. The reversal of 12133322220201 is 10202222333121.

It is not a de Polignac number, because 12133322220201 - 211 = 12133322218153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12133322220001) 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 63 ways as a sum of consecutive naturals, for example, 155243605 + ... + 155321741.

It is an arithmetic number, because the mean of its divisors is an integer number (319544100792).

Almost surely, 212133322220201 is an apocalyptic number.

It is an amenable number.

12133322220201 is a deficient number, since it is larger than the sum of its proper divisors (8317500230487).

12133322220201 is a wasteful number, since it uses less digits than its factorization.

12133322220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93570.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12133322220201 its reverse (10202222333121), we get a palindrome (22335544553322).

The spelling of 12133322220201 in words is "twelve trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 15373 46119 78137 107611 199849 234411 322833 546959 568801 599547 1015781 1398943 1640877 1706403 2891069 3047343 3981607 4196829 7110467 7394413 8673207 11944821 20237483 21331401 22183239 37583897 51760891 60712449 112751691 155282673 263087279 789261837 1201200101 3603600303 8408400707 15615601313 25225202121 44444403737 46846803939 109309209191 133333211211 311110826159 327927627573 577777248581 933332478477 1733331745743 4044440740067 12133322220201