Base | Representation |
---|---|
bin | 100011011001000110000000… |
… | …1000110100000101101000000 |
3 | 1111211021011000210220112222000 |
4 | 1012302030001012200231000 |
5 | 311301014222022000000 |
6 | 3022034453005144000 |
7 | 122400362603456646 |
oct | 10662140106405500 |
9 | 1454234023815860 |
10 | 311312133000000 |
11 | 90214809208160 |
12 | 2aaba46355b000 |
13 | 104927ba2183c2 |
14 | 56c383266d196 |
15 | 25ece2296a000 |
hex | 11b23011a0b40 |
311312133000000 has 784 divisors, whose sum is σ = 1247985244334400. Its totient is φ = 75469536000000.
The previous prime is 311312132999993. The next prime is 311312133000007. The reversal of 311312133000000 is 331213113.
It is a happy number.
311312133000000 is a `hidden beast` number, since 311 + 3 + 1 + 21 + 330 + 0 + 0 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (311312132999993) and next prime (311312133000007).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (311312133000007) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 296475906 + ... + 297524094.
Almost surely, 2311312133000000 is an apocalyptic number.
311312133000000 is a gapful number since it is divisible by the number (30) 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 311312133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623992622167200).
311312133000000 is an abundant number, since it is smaller than the sum of its proper divisors (936673111334400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311312133000000 is an equidigital number, since it uses as much as digits as its factorization.
311312133000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1048251 (or 1048210 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 311312133000000 its reverse (331213113), we get a palindrome (311312464213113).
The spelling of 311312133000000 in words is "three hundred eleven trillion, three hundred twelve billion, one hundred thirty-three million", and thus it is an aban number.
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