Base | Representation |
---|---|
bin | 11101110100010110101010… |
… | …101011100101010010100100 |
3 | 122012022222002201222101220100 |
4 | 131310112222223211102210 |
5 | 114142103433100003140 |
6 | 1142525220055104100 |
7 | 36423426465524226 |
oct | 3564265253452244 |
9 | 565288081871810 |
10 | 131141100000420 |
11 | 388706a0121914 |
12 | 12860035072030 |
13 | 5823725293923 |
14 | 2455397d72416 |
15 | 10264333b7530 |
hex | 7745aaae54a4 |
131141100000420 has 144 divisors (see below), whose sum is σ = 415094853438720. Its totient is φ = 33450099648768.
The previous prime is 131141100000403. The next prime is 131141100000431. The reversal of 131141100000420 is 24000001141131.
131141100000420 is a `hidden beast` number, since 1 + 3 + 1 + 141 + 100 + 0 + 0 + 0 + 420 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 131141100000393 and 131141100000402.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600054126 + ... + 600272634.
It is an arithmetic number, because the mean of its divisors is an integer number (2882603148880).
Almost surely, 2131141100000420 is an apocalyptic number.
131141100000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131141100000420 is an abundant number, since it is smaller than the sum of its proper divisors (283953753438300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131141100000420 is a wasteful number, since it uses less digits than its factorization.
131141100000420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 363514 (or 363509 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 131141100000420 its reverse (24000001141131), we get a palindrome (155141101141551).
The spelling of 131141100000420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, four hundred twenty", and thus it is an aban number.
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