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11132332212 = 2232353787967
BaseRepresentation
bin10100101111000100…
…11110100010110100
31001201211110001220110
422113202132202310
5140244334112322
65040352303020
7542604156021
oct122742364264
931654401813
1011132332212
1147a2a02a61
1221a8241a70
13108547b831
147786ba548
154524cdc0c
hex29789e8b4

11132332212 has 96 divisors (see below), whose sum is σ = 27679905792. Its totient is φ = 3474446976.

The previous prime is 11132332151. The next prime is 11132332213. The reversal of 11132332212 is 21223323111.

11132332212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132332213) 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 31 ways as a sum of consecutive naturals, for example, 11511753 + ... + 11512719.

It is an arithmetic number, because the mean of its divisors is an integer number (288332352).

Almost surely, 211132332212 is an apocalyptic number.

11132332212 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 11132332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839952896).

11132332212 is an abundant number, since it is smaller than the sum of its proper divisors (16547573580).

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

11132332212 is a wasteful number, since it uses less digits than its factorization.

11132332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1835 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 11132332212 its reverse (21223323111), we get a palindrome (32355655323).

The spelling of 11132332212 in words is "eleven billion, one hundred thirty-two million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 787 967 1219 1574 1934 2361 2438 2901 3148 3657 3868 4722 4876 5802 7314 9444 11604 14628 18101 22241 36202 41711 44482 51251 54303 66723 72404 83422 88964 102502 108606 125133 133446 153753 166844 205004 217212 250266 266892 307506 500532 615012 761029 959353 1178773 1522058 1918706 2283087 2357546 2878059 3044116 3536319 3837412 4566174 4715092 5756118 7072638 9132348 11512236 14145276 17503667 35007334 40334537 52511001 70014668 80669074 105022002 121003611 161338148 210044004 242007222 484014444 927694351 1855388702 2783083053 3710777404 5566166106 11132332212