Base | Representation |
---|---|
bin | 11101110001111011110… |
… | …11001100011110010100 |
3 | 10121211011102201212202000 |
4 | 32320331323030132110 |
5 | 113231044213103322 |
6 | 2102023120515300 |
7 | 133632604134660 |
oct | 16707573143624 |
9 | 3554142655660 |
10 | 1023241144212 |
11 | 364a54a4a5a1 |
12 | 14638947bb30 |
13 | 756502b9591 |
14 | 3774cd878a0 |
15 | 1b93bd0b3ac |
hex | ee3decc794 |
1023241144212 has 192 divisors, whose sum is σ = 3068549568000. Its totient is φ = 288819108864.
The previous prime is 1023241144181. The next prime is 1023241144217. The reversal of 1023241144212 is 2124411423201.
1023241144212 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 411 + 4 + 4 + 212 = 666.
It is a super-3 number, since 3×10232411442123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023241144217) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85915714 + ... + 85927622.
It is an arithmetic number, because the mean of its divisors is an integer number (15982029000).
Almost surely, 21023241144212 is an apocalyptic number.
1023241144212 is a gapful number since it is divisible by the number (12) 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 1023241144212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534274784000).
1023241144212 is an abundant number, since it is smaller than the sum of its proper divisors (2045308423788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023241144212 is a wasteful number, since it uses less digits than its factorization.
1023241144212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13295 (or 13287 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
Adding to 1023241144212 its reverse (2124411423201), we get a palindrome (3147652567413).
The spelling of 1023241144212 in words is "one trillion, twenty-three billion, two hundred forty-one million, one hundred forty-four thousand, two hundred twelve".
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