Base | Representation |
---|---|
bin | 11101110010010011100011… |
… | …100111110110011011001000 |
3 | 122011211111201122012122200200 |
4 | 131302103203213312123020 |
5 | 114132302124234340233 |
6 | 1142340414501132200 |
7 | 36410314041300312 |
oct | 3562234347663310 |
9 | 564744648178620 |
10 | 131000321402568 |
11 | 38816a19295682 |
12 | 128388a66ba060 |
13 | 581337b303457 |
14 | 244c64118a7b2 |
15 | 102294414a313 |
hex | 7724e39f66c8 |
131000321402568 has 192 divisors, whose sum is σ = 364144387276800. Its totient is φ = 42530958921600.
The previous prime is 131000321402563. The next prime is 131000321402569. The reversal of 131000321402568 is 865204123000131.
131000321402568 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 0 + 3 + 21 + 40 + 2 + 568 = 666.
It is a super-2 number, since 2×1310003214025682 (a number of 29 digits) contains 22 as substring.
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 (131000321402563) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245407971 + ... + 245941197.
It is an arithmetic number, because the mean of its divisors is an integer number (1896585350400).
Almost surely, 2131000321402568 is an apocalyptic number.
131000321402568 is a gapful number since it is divisible by the number (18) 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 131000321402568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182072193638400).
131000321402568 is an abundant number, since it is smaller than the sum of its proper divisors (233144065874232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131000321402568 is a wasteful number, since it uses less digits than its factorization.
131000321402568 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 533832 (or 533825 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
Adding to 131000321402568 its reverse (865204123000131), we get a palindrome (996204444402699).
The spelling of 131000321402568 in words is "one hundred thirty-one trillion, three hundred twenty-one million, four hundred two thousand, five hundred sixty-eight".
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