Base | Representation |
---|---|
bin | 1001001101000111101101… |
… | …0001110111010100110000 |
3 | 1022211120002200012200002210 |
4 | 2103101323101313110300 |
5 | 2311310312333330000 |
6 | 33305310043412120 |
7 | 2063135044002156 |
oct | 223217321672460 |
9 | 38746080180083 |
10 | 10121011230000 |
11 | 3252329a92210 |
12 | 117562a224040 |
13 | 58553a9b2428 |
14 | 26dc068a73d6 |
15 | 12840da97350 |
hex | 9347b477530 |
10121011230000 has 400 divisors, whose sum is σ = 35975382892416. Its totient is φ = 2430639360000.
The previous prime is 10121011229981. The next prime is 10121011230007. The reversal of 10121011230000 is 3211012101.
10121011230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (400).
It is a super-3 number, since 3×101210112300003 (a number of 40 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 (12).
It is not an unprimeable number, because it can be changed into a prime (10121011230007) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35166684 + ... + 35453316.
Almost surely, 210121011230000 is an apocalyptic number.
10121011230000 is a gapful number since it is divisible by the number (10) 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 10121011230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987691446208).
10121011230000 is an abundant number, since it is smaller than the sum of its proper divisors (25854371662416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10121011230000 is a wasteful number, since it uses less digits than its factorization.
10121011230000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 286782 (or 286761 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 12.
Adding to 10121011230000 its reverse (3211012101), we get a palindrome (10124222242101).
The spelling of 10121011230000 in words is "ten trillion, one hundred twenty-one billion, eleven million, two hundred thirty thousand".
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