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11132211330 = 2325181683377
BaseRepresentation
bin10100101111000100…
…00001000010000010
31001201211012221002100
422113202001002002
5140244321230310
65040345531230
7542603143422
oct122742010202
931654187070
1011132211330
1147a2930159
1221a81a3b16
1310854387c6
14778688482
154524a7ec0
hex297881082

11132211330 has 48 divisors (see below), whose sum is σ = 29103702264. Its totient is φ = 2952184320.

The previous prime is 11132211317. The next prime is 11132211361. The reversal of 11132211330 is 3311223111.

11132211330 is a `hidden beast` number, since 1 + 1 + 1 + 322 + 11 + 330 = 666.

11132211330 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4142080881 + 6990130449 = 64359^2 + 83607^2 .

It is a super-2 number, since 2×111322113302 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325399 + ... + 357978.

Almost surely, 211132211330 is an apocalyptic number.

11132211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11132211330 is an abundant number, since it is smaller than the sum of its proper divisors (17971490934).

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

11132211330 is a wasteful number, since it uses less digits than its factorization.

11132211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683571 (or 683568 counting only the distinct ones).

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

Adding to 11132211330 its reverse (3311223111), we get a palindrome (14443434441).

The spelling of 11132211330 in words is "eleven billion, one hundred thirty-two million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 683377 1366754 2050131 3416885 4100262 6150393 6833770 10250655 12300786 20501310 30751965 61503930 123691237 247382474 371073711 618456185 742147422 1113221133 1236912370 1855368555 2226442266 3710737110 5566105665 11132211330