Base | Representation |
---|---|
bin | 11101000110111101000… |
… | …001010001011100000000 |
3 | 21002020012111201102002021 |
4 | 131012331001101130000 |
5 | 230233134220120112 |
6 | 4130534523531224 |
7 | 264343032062032 |
oct | 35067501213400 |
9 | 7066174642067 |
10 | 2000331020032 |
11 | 701376792064 |
12 | 283816989b14 |
13 | 116827003507 |
14 | 6cb60819c52 |
15 | 370770b7907 |
hex | 1d1bd051700 |
2000331020032 has 72 divisors (see below), whose sum is σ = 4004296973600. Its totient is φ = 997300518912.
The previous prime is 2000331020003. The next prime is 2000331020053. The reversal of 2000331020032 is 2300201330002.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 2000331019988 and 2000331020015.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 240160444 + ... + 240168772.
Almost surely, 22000331020032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2000331020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002148486800).
2000331020032 is an abundant number, since it is smaller than the sum of its proper divisors (2003965953568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000331020032 is an equidigital number, since it uses as much as digits as its factorization.
2000331020032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10921 (or 10907 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
Adding to 2000331020032 its reverse (2300201330002), we get a palindrome (4300532350034).
The spelling of 2000331020032 in words is "two trillion, three hundred thirty-one million, twenty thousand, thirty-two".
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