Base | Representation |
---|---|
bin | 111101000110101101… |
… | …0011110011010001000 |
3 | 110112201001111020120200 |
4 | 1322031122132122020 |
5 | 4122220203443012 |
6 | 140140553052200 |
7 | 12323535512541 |
oct | 1721532363210 |
9 | 415631436520 |
10 | 131221546632 |
11 | 50718162200 |
12 | 215219b7060 |
13 | c4b2ca13a7 |
14 | 64cb8074c8 |
15 | 36302083dc |
hex | 1e8d69e688 |
131221546632 has 108 divisors (see below), whose sum is σ = 390737825205. Its totient is φ = 39753859200.
The previous prime is 131221546613. The next prime is 131221546637. The reversal of 131221546632 is 236645122131.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
131221546632 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 15 + 4 + 6 + 632 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 128957119236 + 2264427396 = 359106^2 + 47586^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=256146.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (131221546637) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33809332 + ... + 33813212.
Almost surely, 2131221546632 is an apocalyptic number.
131221546632 is a gapful number since it is divisible by the number (12) 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 131221546632
131221546632 is an abundant number, since it is smaller than the sum of its proper divisors (259516278573).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131221546632 is an equidigital number, since it uses as much as digits as its factorization.
131221546632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7796 (or 3897 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
Adding to 131221546632 its reverse (236645122131), we get a palindrome (367866668763).
The spelling of 131221546632 in words is "one hundred thirty-one billion, two hundred twenty-one million, five hundred forty-six thousand, six hundred thirty-two".
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