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113131400341 = 312181650401
BaseRepresentation
bin110100101011100101…
…0000010110010010101
3101211000022200121002111
41221113022002302111
53323143114302331
6123545530311021
711113334015341
oct1512712026225
9354008617074
10113131400341
1143a847a9583
1219b13588471
13a88c19a40b
145693032621
152e21e94db1
hex1a57282c95

113131400341 has 12 divisors (see below), whose sum is σ = 117544551852. Its totient is φ = 108876960000.

The previous prime is 113131400297. The next prime is 113131400353. The reversal of 113131400341 is 143004131311.

It can be written as a sum of positive squares in 2 ways, for example, as 1227100900 + 111904299441 = 35030^2 + 334521^2 .

It is not a de Polignac number, because 113131400341 - 235 = 78771661973 is a prime.

It is a super-2 number, since 2×1131314003412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131410341) 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 11 ways as a sum of consecutive naturals, for example, 151260 + ... + 499141.

It is an arithmetic number, because the mean of its divisors is an integer number (9795379321).

Almost surely, 2113131400341 is an apocalyptic number.

It is an amenable number.

113131400341 is a deficient number, since it is larger than the sum of its proper divisors (4413151511).

113131400341 is an equidigital number, since it uses as much as digits as its factorization.

113131400341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650644 (or 650613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 113131400341 its reverse (143004131311), we get a palindrome (256135531652).

The spelling of 113131400341 in words is "one hundred thirteen billion, one hundred thirty-one million, four hundred thousand, three hundred forty-one".

Divisors: 1 31 181 961 5611 173941 650401 20162431 117722581 625035361 3649400011 113131400341