Search a number
-
+
131132110110 = 2356536693829
BaseRepresentation
bin111101000100000010…
…1010011010100011110
3110112110211012101201220
41322020011103110132
54122024310010420
6140124040114210
712321401354631
oct1721005232436
9415424171656
10131132110110
1150681726221
12214b7a65966
13c49a5b8a81
1464bd9a5c18
15362743d840
hex1e8815351e

131132110110 has 32 divisors (see below), whose sum is σ = 315199067040. Its totient is φ = 34915006848.

The previous prime is 131132110079. The next prime is 131132110117. The reversal of 131132110110 is 11011231131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131132110110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132110117) 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 15 ways as a sum of consecutive naturals, for example, 3327325 + ... + 3366504.

It is an arithmetic number, because the mean of its divisors is an integer number (9849970845).

Almost surely, 2131132110110 is an apocalyptic number.

131132110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131132110110 is an abundant number, since it is smaller than the sum of its proper divisors (184066956930).

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

131132110110 is a wasteful number, since it uses less digits than its factorization.

131132110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694492.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131132110110 its reverse (11011231131), we get a palindrome (142143341241).

The spelling of 131132110110 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 653 1306 1959 3265 3918 6530 9795 19590 6693829 13387658 20081487 33469145 40162974 66938290 100407435 200814870 4371070337 8742140674 13113211011 21855351685 26226422022 43710703370 65566055055 131132110110