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101112 = 23311383
BaseRepresentation
bin11000101011111000
312010200220
4120223320
511213422
62100040
7600534
oct305370
9163626
10101112
1169a70
124a620
133703b
1428bc4
151ee5c
hex18af8

101112 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 30560.

The previous prime is 101111. The next prime is 101113. The reversal of 101112 is 211101.

Adding to 101112 its reverse (211101), we get a palindrome (312213).

Multipling 101112 by its reverse (211101), we get a palindrome (21344844312).

It is an interprime number because it is at equal distance from previous prime (101111) and next prime (101113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2101112 is an apocalyptic number.

101112 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 101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

101112 is an abundant number, since it is smaller than the sum of its proper divisors (175368).

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

101112 is a wasteful number, since it uses less digits than its factorization.

101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101112 is about 317.9811315157. The cubic root of 101112 is about 46.5873027476.

The spelling of 101112 in words is "one hundred one thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 383 766 1149 1532 2298 3064 4213 4596 8426 9192 12639 16852 25278 33704 50556 101112