Search a number
-
+
2002000220020 = 2251031277652321
BaseRepresentation
bin11101001000100000100…
…000110000111101110100
321002101111211121120000001
4131020200200300331310
5230300044024020040
64131412312401044
7264432301044223
oct35104040607564
97071454546001
102002000220020
11702052a28789
122840019a6184
13116a31a87908
146cc7c3a4cba
15371238d559a
hex1d220830f74

2002000220020 has 48 divisors (see below), whose sum is σ = 4278443839488. Its totient is φ = 786780933120.

The previous prime is 2002000219979. The next prime is 2002000220071. The reversal of 2002000220020 is 200220002002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002000219979 and 2002000220006.

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 15 ways as a sum of consecutive naturals, for example, 3564541 + ... + 4087780.

It is an arithmetic number, because the mean of its divisors is an integer number (89134246656).

Almost surely, 22002000220020 is an apocalyptic number.

2002000220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002000220020 is an abundant number, since it is smaller than the sum of its proper divisors (2276443619468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002000220020 is a wasteful number, since it uses less digits than its factorization.

2002000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652560 (or 7652558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 2002000220020 its reverse (200220002002), we get a palindrome (2202220222022).

The spelling of 2002000220020 in words is "two trillion, two billion, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 103 127 206 254 412 508 515 635 1030 1270 2060 2540 13081 26162 52324 65405 130810 261620 7652321 15304642 30609284 38261605 76523210 153046420 788189063 971844767 1576378126 1943689534 3152756252 3887379068 3940945315 4859223835 7881890630 9718447670 15763781260 19436895340 100100011001 200200022002 400400044004 500500055005 1001000110010 2002000220020