| Base | Representation |
|---|---|
| bin | 11101001000101110110… |
| … | …01000000110111000000 |
| 3 | 10112201001202112211012200 |
| 4 | 32210113121000313000 |
| 5 | 112400243133004211 |
| 6 | 2043524051553200 |
| 7 | 132220453002066 |
| oct | 16442731006700 |
| 9 | 3481052484180 |
| 10 | 1001119813056 |
| 11 | 356633043030 |
| 12 | 142034bbb800 |
| 13 | 7353629580c |
| 14 | 36651062036 |
| 15 | 1b094c12b56 |
| hex | e917640dc0 |
1001119813056 has 672 divisors, whose sum is σ = 3512910098880. Its totient is φ = 268920422400.
The previous prime is 1001119813051. The next prime is 1001119813061. The reversal of 1001119813056 is 6503189111001.
It is an interprime number because it is at equal distance from previous prime (1001119813051) and next prime (1001119813061).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1001119813056.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001119813051) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128065660 + ... + 128073476.
It is an arithmetic number, because the mean of its divisors is an integer number (5227544790).
Almost surely, 21001119813056 is an apocalyptic number.
1001119813056 is a gapful number since it is divisible by the number (16) 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 1001119813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756455049440).
1001119813056 is an abundant number, since it is smaller than the sum of its proper divisors (2511790285824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001119813056 is a wasteful number, since it uses less digits than its factorization.
1001119813056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7933 (or 7920 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 36.
The spelling of 1001119813056 in words is "one trillion, one billion, one hundred nineteen million, eight hundred thirteen thousand, fifty-six".
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