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101101068 = 22331376833
BaseRepresentation
bin1100000011010…
…10111000001100
321001020110121000
412001222320030
5201340213233
614010540300
72335226205
oct601527014
9231213530
10101101068
1152083802
1229a37690
1317c3aa23
14d5da5ac
158d20d13
hex606ae0c

101101068 has 48 divisors (see below), whose sum is σ = 264065760. Its totient is φ = 33449472.

The previous prime is 101101067. The next prime is 101101069. The reversal of 101101068 is 860101101.

It is an interprime number because it is at equal distance from previous prime (101101067) and next prime (101101069).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101101068.

It is not an unprimeable number, because it can be changed into a prime (101101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11380 + ... + 18212.

It is an arithmetic number, because the mean of its divisors is an integer number (5501370).

Almost surely, 2101101068 is an apocalyptic number.

101101068 is a gapful number since it is divisible by the number (18) 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 101101068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132032880).

101101068 is an abundant number, since it is smaller than the sum of its proper divisors (162964692).

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

101101068 is a wasteful number, since it uses less digits than its factorization.

101101068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 101101068 is about 10054.9026847603. The cubic root of 101101068 is about 465.8562371589.

Adding to 101101068 its reverse (860101101), we get a palindrome (961202169).

The spelling of 101101068 in words is "one hundred one million, one hundred one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4932 6833 7398 13666 14796 20499 27332 40998 61497 81996 122994 184491 245988 368982 737964 936121 1872242 2808363 3744484 5616726 8425089 11233452 16850178 25275267 33700356 50550534 101101068