Search a number
-
+
33223201011 = 32711139413919
BaseRepresentation
bin11110111100010000…
…011101000011110011
310011202101022110221100
4132330100131003303
51021020114413021
623132412255443
72254205356230
oct367420350363
9104671273840
1033223201011
11130a96a3720
126532471583
133196098030
141872552787
15ce6aab626
hex7bc41d0f3

33223201011 has 96 divisors (see below), whose sum is σ = 64517806080. Its totient is φ = 15910214400.

The previous prime is 33223201007. The next prime is 33223201021. The reversal of 33223201011 is 11010232233.

33223201011 is a `hidden beast` number, since 3 + 322 + 320 + 10 + 11 = 666.

It is not a de Polignac number, because 33223201011 - 22 = 33223201007 is a prime.

It is a super-2 number, since 2×332232010112 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33223201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8475510 + ... + 8479428.

It is an arithmetic number, because the mean of its divisors is an integer number (672060480).

Almost surely, 233223201011 is an apocalyptic number.

33223201011 is a deficient number, since it is larger than the sum of its proper divisors (31294605069).

33223201011 is a wasteful number, since it uses less digits than its factorization.

33223201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33223201011 its reverse (11010232233), we get a palindrome (44233433244).

The spelling of 33223201011 in words is "thirty-three billion, two hundred twenty-three million, two hundred one thousand, eleven".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 941 1001 1287 2823 3003 3919 6587 8469 9009 10351 11757 12233 19761 27433 31053 35271 36699 43109 50947 59283 72457 82299 85631 93159 110097 129327 134563 152841 217371 246897 256893 301763 356629 387981 403689 458523 560417 652113 770679 905289 941941 1069887 1211067 1681251 2715867 2825823 3209661 3687779 3922919 5043753 8477469 11063337 11768757 25814453 33190011 35306271 40565569 47941127 77443359 121696707 143823381 232330077 283958983 335587889 365090121 431470143 527352397 851876949 1006763667 1582057191 2555630847 3020291001 3691466779 4746171573 11074400337 33223201011