Base | Representation |
---|---|
bin | 110100110100100100101010… |
… | …100011111010001111010000 |
3 | 1010110112201210222010020202100 |
4 | 310310210222203322033100 |
5 | 220422141314213130000 |
6 | 2142030143024320400 |
7 | 66634634050665615 |
oct | 6464445243721720 |
9 | 1113481728106670 |
10 | 232311200130000 |
11 | 68026699150972 |
12 | 2207b572a73100 |
13 | 9c81b102b9c44 |
14 | 4151cca28a50c |
15 | 1bcce32926a00 |
hex | d3492a8fa3d0 |
232311200130000 has 1800 divisors, whose sum is σ = 876837548242656. Its totient is φ = 57373920000000.
The previous prime is 232311200129963. The next prime is 232311200130007. The reversal of 232311200130000 is 31002113232.
232311200130000 is a `hidden beast` number, since 2 + 32 + 311 + 20 + 0 + 1 + 300 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1800).
It is a super-3 number, since 3×2323112001300003 (a number of 44 digits) contains 333 as substring.
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 (232311200130007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 497454389767 + ... + 497454390233.
Almost surely, 2232311200130000 is an apocalyptic number.
232311200130000 is a gapful number since it is divisible by the number (20) 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 232311200130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438418774121328).
232311200130000 is an abundant number, since it is smaller than the sum of its proper divisors (644526348112656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232311200130000 is a wasteful number, since it uses less digits than its factorization.
232311200130000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 851 (or 808 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 232311200130000 its reverse (31002113232), we get a palindrome (232342202243232).
The spelling of 232311200130000 in words is "two hundred thirty-two trillion, three hundred eleven billion, two hundred million, one hundred thirty thousand".
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