Base | Representation |
---|---|
bin | 11101001000100111001… |
… | …00000011110110010100 |
3 | 10112200220021201110111002 |
4 | 32210103210003312110 |
5 | 112400130213200040 |
6 | 2043513435402432 |
7 | 132216043130060 |
oct | 16442344036624 |
9 | 3480807643432 |
10 | 1001055600020 |
11 | 3565aa874903 |
12 | 1420175b3418 |
13 | 73525ba2038 |
14 | 36646708aa0 |
15 | 1b08e27ba15 |
hex | e913903d94 |
1001055600020 has 96 divisors (see below), whose sum is σ = 2413314183168. Its totient is φ = 341681288832.
The previous prime is 1001055600007. The next prime is 1001055600031. The reversal of 1001055600020 is 200065501001.
It is a super-2 number, since 2×10010556000202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 1001055599965 and 1001055600001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43689407 + ... + 43712313.
It is an arithmetic number, because the mean of its divisors is an integer number (25138689408).
Almost surely, 21001055600020 is an apocalyptic number.
1001055600020 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 1001055600020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206657091584).
1001055600020 is an abundant number, since it is smaller than the sum of its proper divisors (1412258583148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001055600020 is a wasteful number, since it uses less digits than its factorization.
1001055600020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24309 (or 24307 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 20.
The spelling of 1001055600020 in words is "one trillion, one billion, fifty-five million, six hundred thousand, twenty".
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