Search a number
-
+
110131104 = 2531577307
BaseRepresentation
bin1101001000001…
…11011110100000
321200020020110210
412210013132200
5211143143404
614532254120
72505045636
oct644073640
9250206423
10110131104
1157191146
1230a71340
1319a7cc45
14108ab356
159a06689
hex69077a0

110131104 has 48 divisors (see below), whose sum is σ = 290975328. Its totient is φ = 36471552.

The previous prime is 110131103. The next prime is 110131139. The reversal of 110131104 is 401131011.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 110131104.

It is not an unprimeable number, because it can be changed into a prime (110131103) 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, 11419 + ... + 18725.

It is an arithmetic number, because the mean of its divisors is an integer number (6061986).

Almost surely, 2110131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145487664).

110131104 is an abundant number, since it is smaller than the sum of its proper divisors (180844224).

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

110131104 is a wasteful number, since it uses less digits than its factorization.

110131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477 (or 7469 counting only the distinct ones).

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

The square root of 110131104 is about 10494.3367584617. The cubic root of 110131104 is about 479.3322659820.

Adding to 110131104 its reverse (401131011), we get a palindrome (511262115).

The spelling of 110131104 in words is "one hundred ten million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7307 7536 14614 15072 21921 29228 43842 58456 87684 116912 175368 233824 350736 701472 1147199 2294398 3441597 4588796 6883194 9177592 13766388 18355184 27532776 36710368 55065552 110131104