| Base | Representation |
|---|---|
| bin | 1001001011111001011011… |
| … | …1010011010111101110100 |
| 3 | 1022202112212100220002221011 |
| 4 | 2102332112322122331310 |
| 5 | 2310434300000310400 |
| 6 | 33251513112202004 |
| 7 | 2061462262404250 |
| oct | 222762672327564 |
| 9 | 38675770802834 |
| 10 | 10100000010100 |
| 11 | 3244427776770 |
| 12 | 1171545699304 |
| 13 | 58356c96c730 |
| 14 | 26cbb2193260 |
| 15 | 127ace1808ba |
| hex | 92f96e9af74 |
10100000010100 has 576 divisors, whose sum is σ = 31283097753600. Its totient is φ = 2725643520000.
The previous prime is 10100000010031. The next prime is 10100000010127. The reversal of 10100000010100 is 101000000101.
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a self number, because there is not a number n which added to its sum of digits gives 10100000010100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192065611 + ... + 192118189.
It is an arithmetic number, because the mean of its divisors is an integer number (54310933600).
Almost surely, 210100000010100 is an apocalyptic number.
10100000010100 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 10100000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641548876800).
10100000010100 is an abundant number, since it is smaller than the sum of its proper divisors (21183097743500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100000010100 is a wasteful number, since it uses less digits than its factorization.
10100000010100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 52744 (or 52737 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 4.
Adding to 10100000010100 its reverse (101000000101), we get a palindrome (10201000010201).
Subtracting from 10100000010100 its reverse (101000000101), we obtain a palindrome (9999000009999).
10100000010100 divided by its reverse (101000000101) gives a square (100 = 102).
It can be divided in two parts, 101000000 and 10100, that multiplied together give a square (1020100000000 = 10100002).
The spelling of 10100000010100 in words is "ten trillion, one hundred billion, ten thousand, one hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.078 sec. • engine limits •