Base | Representation |
---|---|
bin | 1110001110111110111010… |
… | …10110110000001010011010 |
3 | 11002211100201021221022011200 |
4 | 13013133131112300022122 |
5 | 13100314213421241010 |
6 | 150323313445535030 |
7 | 6410301303421215 |
oct | 707373526601232 |
9 | 132740637838150 |
10 | 31301140415130 |
11 | 9a78814821a93 |
12 | 3616454714476 |
13 | 14608b9897b31 |
14 | 7a2daa19477c |
15 | 394333db9cc0 |
hex | 1c77dd5b029a |
31301140415130 has 96 divisors (see below), whose sum is σ = 81988626245760. Its totient is φ = 8284941705600.
The previous prime is 31301140415117. The next prime is 31301140415137. The reversal of 31301140415130 is 3151404110313.
31301140415130 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 1 + 140 + 4 + 1 + 513 + 0 = 666.
It is a super-3 number, since 3×313011404151303 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 31301140415094 and 31301140415103.
It is not an unprimeable number, because it can be changed into a prime (31301140415137) 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, 15765069 + ... + 17639151.
It is an arithmetic number, because the mean of its divisors is an integer number (854048190060).
Almost surely, 231301140415130 is an apocalyptic number.
31301140415130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 31301140415130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40994313122880).
31301140415130 is an abundant number, since it is smaller than the sum of its proper divisors (50687485830630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31301140415130 is a wasteful number, since it uses less digits than its factorization.
31301140415130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1875476 (or 1875473 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
Adding to 31301140415130 its reverse (3151404110313), we get a palindrome (34452544525443).
The spelling of 31301140415130 in words is "thirty-one trillion, three hundred one billion, one hundred forty million, four hundred fifteen thousand, one hundred thirty".
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