Base | Representation |
---|---|
bin | 110100100001011111100000… |
… | …111100010111000001100110 |
3 | 1010021220101101011202020200100 |
4 | 310201133200330113001212 |
5 | 220234201000000000402 |
6 | 2135143533543124530 |
7 | 66441125225533254 |
oct | 6441374074270146 |
9 | 1107811334666610 |
10 | 231000000000102 |
11 | 6767060592a383 |
12 | 21aa9420743746 |
13 | 9bb828b996a08 |
14 | 41086614175d4 |
15 | 1ba8c905ce71c |
hex | d217e0f17066 |
231000000000102 has 288 divisors, whose sum is σ = 545811059192256. Its totient is φ = 70421915773440.
The previous prime is 231000000000089. The next prime is 231000000000103. The reversal of 231000000000102 is 201000000000132.
It is a happy number.
It is a super-2 number, since 2×2310000000001022 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 230999999999994 and 231000000000084.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (231000000000103) 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 143 ways as a sum of consecutive naturals, for example, 24478113328 + ... + 24478122764.
It is an arithmetic number, because the mean of its divisors is an integer number (1895177288862).
Almost surely, 2231000000000102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 231000000000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272905529596128).
231000000000102 is an abundant number, since it is smaller than the sum of its proper divisors (314811059192154).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
231000000000102 is a wasteful number, since it uses less digits than its factorization.
231000000000102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9964 (or 9890 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 231000000000102 its reverse (201000000000132), we get a palindrome (432000000000234).
The spelling of 231000000000102 in words is "two hundred thirty-one trillion, one hundred two", and thus it is an aban number.
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