Base | Representation |
---|---|
bin | 10000000000011101001… |
… | …011001100000011110100 |
3 | 10220011021222010122200020 |
4 | 100000131023030003310 |
5 | 121010300240200040 |
6 | 2201200013045140 |
7 | 142321024035414 |
oct | 20003513140364 |
9 | 3804258118606 |
10 | 1100001100020 |
11 | 394564a424a9 |
12 | 1592301867b0 |
13 | 7c9640a1b84 |
14 | 3b3516b2644 |
15 | 1d930b1bcd0 |
hex | 1001d2cc0f4 |
1100001100020 has 144 divisors (see below), whose sum is σ = 3360267173760. Its totient is φ = 268616964096.
The previous prime is 1100001099973. The next prime is 1100001100021. The reversal of 1100001100020 is 200011000011.
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 junction number, because it is equal to n+sod(n) for n = 1100001099981 and 1100001100008.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1100001100021) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215680 + ... + 1498839.
Almost surely, 21100001100020 is an apocalyptic number.
1100001100020 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 1100001100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680133586880).
1100001100020 is an abundant number, since it is smaller than the sum of its proper divisors (2260266073740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100001100020 is a wasteful number, since it uses less digits than its factorization.
1100001100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1714602 (or 1714583 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 1100001100020 its reverse (200011000011), we get a palindrome (1300012100031).
It can be divided in two parts, 1100001 and 100020, that added together give a palindrome (1200021).
The spelling of 1100001100020 in words is "one trillion, one hundred billion, one million, one hundred thousand, twenty".
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