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11133464100 = 22352112306707
BaseRepresentation
bin10100101111001101…
…10010111000100100
31001201220120120120020
422113212302320210
5140300131322400
65040432435140
7542616612003
oct122746627044
931656516506
1011133464100
1147a3606400
1221a86a8ab0
131085786aa5
147788d2c3a
154526542a0
hex2979b2e24

11133464100 has 108 divisors (see below), whose sum is σ = 35407598352. Its totient is φ = 2699012800.

The previous prime is 11133464099. The next prime is 11133464107. The reversal of 11133464100 is 146433111.

11133464100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11133464107) 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 35 ways as a sum of consecutive naturals, for example, 117054 + ... + 189653.

Almost surely, 211133464100 is an apocalyptic number.

11133464100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133464100 is an abundant number, since it is smaller than the sum of its proper divisors (24274134252).

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

11133464100 is a wasteful number, since it uses less digits than its factorization.

11133464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306746 (or 306728 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11133464100 its reverse (146433111), we get a palindrome (11279897211).

The spelling of 11133464100 in words is "eleven billion, one hundred thirty-three million, four hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 306707 613414 920121 1226828 1533535 1840242 3067070 3373777 3680484 4600605 6134140 6747554 7667675 9201210 10121331 13495108 15335350 16868885 18402420 20242662 23003025 30670700 33737770 37111547 40485324 46006050 50606655 67475540 74223094 84344425 92012100 101213310 111334641 148446188 168688850 185557735 202426620 222669282 253033275 337377700 371115470 445338564 506066550 556673205 742230940 927788675 1012133100 1113346410 1855577350 2226692820 2783366025 3711154700 5566732050 11133464100