| Base | Representation |
|---|---|
| bin | 111011101110110… |
| … | …000000000100100 |
| 3 | 2120211122111212200 |
| 4 | 323232300000210 |
| 5 | 4023020023022 |
| 6 | 243234414500 |
| 7 | 33555542310 |
| oct | 7356600044 |
| 9 | 2524574780 |
| 10 | 1002111012 |
| 11 | 474735921 |
| 12 | 23b731430 |
| 13 | 12c7c8cc6 |
| 14 | 9713ab40 |
| 15 | 5ce9bbac |
| hex | 3bbb0024 |
1002111012 has 144 divisors (see below), whose sum is σ = 3095269632. Its totient is φ = 267125760.
The previous prime is 1002110983. The next prime is 1002111013. The reversal of 1002111012 is 2101112001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1002110985 and 1002111003.
It is not an unprimeable number, because it can be changed into a prime (1002111013) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235528 + ... + 239744.
It is an arithmetic number, because the mean of its divisors is an integer number (21494928).
Almost surely, 21002111012 is an apocalyptic number.
1002111012 is a gapful number since it is divisible by the number (12) 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 1002111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547634816).
1002111012 is an abundant number, since it is smaller than the sum of its proper divisors (2093158620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002111012 is a wasteful number, since it uses less digits than its factorization.
1002111012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4298 (or 4293 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 1002111012 is about 31656.1370353364. The cubic root of 1002111012 is about 1000.7031760942.
Adding to 1002111012 its reverse (2101112001), we get a palindrome (3103223013).
It can be divided in two parts, 100 and 2111012, that added together give a palindrome (2111112).
The spelling of 1002111012 in words is "one billion, two million, one hundred eleven thousand, twelve".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •