| Base | Representation |
|---|---|
| bin | 1001001011111101001110… |
| … | …1101110000010110100000 |
| 3 | 1022202122111110101001012120 |
| 4 | 2102333103231300112200 |
| 5 | 2310443342121200000 |
| 6 | 33252202232224240 |
| 7 | 2061526460130264 |
| oct | 222772355602640 |
| 9 | 38678443331176 |
| 10 | 10101020100000 |
| 11 | 3244900571375 |
| 12 | 117178b23b080 |
| 13 | 5836a30c1c1b |
| 14 | 26cc6b8500a4 |
| 15 | 127b3d9ce6a0 |
| hex | 92fd3b705a0 |
10101020100000 has 288 divisors, whose sum is σ = 33470088527232. Its totient is φ = 2666928000000.
The previous prime is 10101020099977. The next prime is 10101020100013. The reversal of 10101020100000 is 102010101.
10101020100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30133317 + ... + 30466683.
It is an arithmetic number, because the mean of its divisors is an integer number (116215585164).
Almost surely, 210101020100000 is an apocalyptic number.
10101020100000 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 10101020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735044263616).
10101020100000 is an abundant number, since it is smaller than the sum of its proper divisors (23369068427232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10101020100000 is an equidigital number, since it uses as much as digits as its factorization.
10101020100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 333506 (or 333478 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 10101020100000 its reverse (102010101), we get a palindrome (10101122110101).
It can be divided in two parts, 1010 and 1020100000, that multiplied together give a cube (1030301000000 = 101003).
The spelling of 10101020100000 in words is "ten trillion, one hundred one billion, twenty million, one hundred thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.077 sec. • engine limits •