| Base | Representation |
|---|---|
| bin | 10110110000101010010101… |
| … | …001100111111000111010000 |
| 3 | 111010102120012120100111112020 |
| 4 | 112300222111030333013100 |
| 5 | 101110023332304310000 |
| 6 | 552521434123131440 |
| 7 | 30041026240435620 |
| oct | 2660522514770720 |
| 9 | 433376176314466 |
| 10 | 100101011010000 |
| 11 | 299936670a6030 |
| 12 | b2882b6073b80 |
| 13 | 43b163c249050 |
| 14 | 1aa0cb4248880 |
| 15 | b88ccc662ba0 |
| hex | 5b0a9533f1d0 |
100101011010000 has 3200 divisors, whose sum is σ = 465083848728576. Its totient is φ = 17864478720000.
The previous prime is 100101011009999. The next prime is 100101011010001. The reversal of 100101011010000 is 10110101001.
It is an interprime number because it is at equal distance from previous prime (100101011009999) and next prime (100101011010001).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100101011010001) 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 639 ways as a sum of consecutive naturals, for example, 25555528042 + ... + 25555531958.
Almost surely, 2100101011010000 is an apocalyptic number.
100101011010000 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 100101011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232541924364288).
100101011010000 is an abundant number, since it is smaller than the sum of its proper divisors (364982837718576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100101011010000 is a wasteful number, since it uses less digits than its factorization.
100101011010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4039 (or 4018 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 100101011010000 its reverse (10110101001), we get a palindrome (100111121111001).
The spelling of 100101011010000 in words is "one hundred trillion, one hundred one billion, eleven million, ten thousand".
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