Base | Representation |
---|---|
bin | 11101110100010110111000… |
… | …000010000111111101101100 |
3 | 122012022222200100111102222010 |
4 | 131310112320002013331230 |
5 | 114142104412421412140 |
6 | 1142525254220321220 |
7 | 36423435155563320 |
oct | 3564267002077554 |
9 | 565288610442863 |
10 | 131141324013420 |
11 | 388707a5616126 |
12 | 128600980a3210 |
13 | 582375c807ab6 |
14 | 24553b9a05980 |
15 | 1026447db6880 |
hex | 7745b8087f6c |
131141324013420 has 192 divisors, whose sum is σ = 420182050369536. Its totient is φ = 29937324936960.
The previous prime is 131141324013419. The next prime is 131141324013439. The reversal of 131141324013420 is 24310423141131.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3629588755 + ... + 3629624885.
It is an arithmetic number, because the mean of its divisors is an integer number (2188448179008).
Almost surely, 2131141324013420 is an apocalyptic number.
131141324013420 is a gapful number since it is divisible by the number (10) 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 131141324013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210091025184768).
131141324013420 is an abundant number, since it is smaller than the sum of its proper divisors (289040726356116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131141324013420 is a wasteful number, since it uses less digits than its factorization.
131141324013420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46820 (or 46818 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
Adding to 131141324013420 its reverse (24310423141131), we get a palindrome (155451747154551).
The spelling of 131141324013420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirteen thousand, four hundred twenty".
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