Search a number
-
+
131001424324110 = 23251455571381379
BaseRepresentation
bin11101110010010100100101…
…010111001010011000001110
3122011211121120111112212121200
4131302110211113022120032
5114132311404111332420
61142341120140410330
736410353263052104
oct3562244527123016
9564747514485550
10131001424324110
113881743491598a
1212838b53b469a6
1358134c5967b52
14244c707849c74
1510229aadabb90
hex7725255ca60e

131001424324110 has 24 divisors (see below), whose sum is σ = 340603703242920. Its totient is φ = 34933713153072.

The previous prime is 131001424324063. The next prime is 131001424324207. The reversal of 131001424324110 is 11423424100131.

It is a happy number.

131001424324110 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 1 + 4 + 243 + 2 + 411 + 0 = 666.

It is a super-2 number, since 2×1310014243241102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727785690600 + ... + 727785690779.

It is an arithmetic number, because the mean of its divisors is an integer number (14191820968455).

Almost surely, 2131001424324110 is an apocalyptic number.

131001424324110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131001424324110 is an abundant number, since it is smaller than the sum of its proper divisors (209602278918810).

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

131001424324110 is a wasteful number, since it uses less digits than its factorization.

131001424324110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455571381392 (or 1455571381389 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131001424324110 its reverse (11423424100131), we get a palindrome (142424848424241).

The spelling of 131001424324110 in words is "one hundred thirty-one trillion, one billion, four hundred twenty-four million, three hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1455571381379 2911142762758 4366714144137 7277856906895 8733428288274 13100142432411 14555713813790 21833570720685 26200284864822 43667141441370 65500712162055 131001424324110