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11210223132 = 22325316633533
BaseRepresentation
bin10100111000010111…
…00110111000011100
31001221021000100011100
422130023212320130
5140424304120012
65052213553100
7544541216163
oct123413467034
931837010140
1011210223132
114832973619
12220a345790
131098650c34
14784b943da
154592678dc
hex29c2e6e1c

11210223132 has 72 divisors (see below), whose sum is σ = 28897150464. Its totient is φ = 3662994816.

The previous prime is 11210223097. The next prime is 11210223139. The reversal of 11210223132 is 23132201211.

11210223132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210223139) 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 23 ways as a sum of consecutive naturals, for example, 3171238 + ... + 3174770.

It is an arithmetic number, because the mean of its divisors is an integer number (401349312).

Almost surely, 211210223132 is an apocalyptic number.

11210223132 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 11210223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448575232).

11210223132 is an abundant number, since it is smaller than the sum of its proper divisors (17686927332).

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

11210223132 is a wasteful number, since it uses less digits than its factorization.

11210223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11210223132 its reverse (23132201211), we get a palindrome (34342424343).

The spelling of 11210223132 in words is "eleven billion, two hundred ten million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1663 1908 3326 3533 4989 6652 7066 9978 10599 14132 14967 19956 21198 29934 31797 42396 59868 63594 88139 127188 176278 187249 264417 352556 374498 528834 561747 748996 793251 1057668 1123494 1586502 1685241 2246988 3173004 3370482 5875379 6740964 11750758 17626137 23501516 35252274 52878411 70504548 105756822 211513644 311395087 622790174 934185261 1245580348 1868370522 2802555783 3736741044 5605111566 11210223132