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11133310212 = 22323716934937
BaseRepresentation
bin10100101111001100…
…01101010100000100
31001201220021202110200
422113212031110010
5140300111411322
65040425250500
7542615401233
oct122746152404
931656252420
1011133310212
1147a3510822
1221a8633a30
131085731a2b
14778892b1a
154526238ac
hex29798d504

11133310212 has 72 divisors (see below), whose sum is σ = 28926073176. Its totient is φ = 3607939584.

The previous prime is 11133310189. The next prime is 11133310219. The reversal of 11133310212 is 21201333111.

11133310212 is a `hidden beast` number, since 11 + 133 + 310 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2820247236 + 8313062976 = 53106^2 + 91176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11133310219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2252608 + ... + 2257544.

Almost surely, 211133310212 is an apocalyptic number.

11133310212 is a gapful number since it is divisible by the number (12) 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 11133310212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463036588).

11133310212 is an abundant number, since it is smaller than the sum of its proper divisors (17792762964).

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

11133310212 is a wasteful number, since it uses less digits than its factorization.

11133310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133310212 its reverse (21201333111), we get a palindrome (32334643323).

The spelling of 11133310212 in words is "eleven billion, one hundred thirty-three million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1693 3386 4937 5079 6772 9874 10158 14811 15237 19748 20316 29622 30474 44433 59244 60948 62641 88866 125282 177732 182669 187923 250564 365338 375846 548007 563769 730676 751692 1096014 1127538 1644021 2192028 2255076 3288042 6576084 8358341 16716682 25075023 33433364 50150046 75225069 100300092 150450138 300900276 309258617 618517234 927775851 1237034468 1855551702 2783327553 3711103404 5566655106 11133310212