| Base | Representation |
|---|---|
| bin | 11101000110110110100… |
| … | …00101111000100110100 |
| 3 | 10112121110110022022201020 |
| 4 | 32203123100233010310 |
| 5 | 112341211404310400 |
| 6 | 2043240013501140 |
| 7 | 132153453215436 |
| oct | 16433320570464 |
| 9 | 3477413268636 |
| 10 | 1000111010100 |
| 11 | 356165657484 |
| 12 | 1419b31a17b0 |
| 13 | 734052958a7 |
| 14 | 365970a2656 |
| 15 | 1b0363932a0 |
| hex | e8db42f134 |
1000111010100 has 144 divisors (see below), whose sum is σ = 2973996818688. Its totient is φ = 259301813760.
The previous prime is 1000111010051. The next prime is 1000111010117. The reversal of 1000111010100 is 10101110001.
1000111010100 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 a congruent number.
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, 15763642 + ... + 15826958.
Almost surely, 21000111010100 is an apocalyptic number.
1000111010100 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 1000111010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486998409344).
1000111010100 is an abundant number, since it is smaller than the sum of its proper divisors (1973885808588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000111010100 is a wasteful number, since it uses less digits than its factorization.
1000111010100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64794 (or 64787 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 1000111010100 its reverse (10101110001), we get a palindrome (1010212120101).
Subtracting from 1000111010100 its reverse (10101110001), we obtain a palindrome (990009900099).
It can be divided in two parts, 100011 and 1010100, that added together give a palindrome (1110111).
The spelling of 1000111010100 in words is "one trillion, one hundred eleven million, ten thousand, one hundred".
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