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11101332 = 22311372273
BaseRepresentation
bin101010010110…
…010010010100
3202220000011110
4222112102110
510320220312
61033535020
7163234254
oct52262224
922800143
1011101332
1162a2660
123874470
1323b8c48
14168d964
15e9443c
hexa96494

11101332 has 48 divisors (see below), whose sum is σ = 29034432. Its totient is φ = 3271680.

The previous prime is 11101331. The next prime is 11101367. The reversal of 11101332 is 23310111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3748 + ... + 6020.

It is an arithmetic number, because the mean of its divisors is an integer number (604884).

Almost surely, 211101332 is an apocalyptic number.

11101332 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 11101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517216).

11101332 is an abundant number, since it is smaller than the sum of its proper divisors (17933100).

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

11101332 is a wasteful number, since it uses less digits than its factorization.

11101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11101332 is about 3331.8661437699. The cubic root of 11101332 is about 223.0788328871.

Adding to 11101332 its reverse (23310111), we get a palindrome (34411443).

It can be divided in two parts, 1110 and 1332, that added together give a palindrome (2442).

The spelling of 11101332 in words is "eleven million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2273 2442 4546 4884 6819 9092 13638 25003 27276 50006 75009 84101 100012 150018 168202 252303 300036 336404 504606 925111 1009212 1850222 2775333 3700444 5550666 11101332