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2002012212820 = 225857585119963
BaseRepresentation
bin11101001000100001001…
…110100000111001010100
321002101112200011212000211
4131020201032200321110
5230300110111302240
64131413421415204
7264432505013524
oct35104116407124
97071480155024
102002012212820
1170205977a094
12284005a0a504
13116a343c6549
146cc7dc07684
15371249a3bea
hex1d2213a0e54

2002012212820 has 48 divisors (see below), whose sum is σ = 4210061663808. Its totient is φ = 799693689600.

The previous prime is 2002012212803. The next prime is 2002012212821. The reversal of 2002012212820 is 282122102002.

It is a junction number, because it is equal to n+sod(n) for n = 2002012212791 and 2002012212800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002012212821) 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 15 ways as a sum of consecutive naturals, for example, 100276159 + ... + 100296121.

It is an arithmetic number, because the mean of its divisors is an integer number (87709617996).

Almost surely, 22002012212820 is an apocalyptic number.

2002012212820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002012212820 is an abundant number, since it is smaller than the sum of its proper divisors (2208049450988).

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

2002012212820 is a wasteful number, since it uses less digits than its factorization.

2002012212820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26680 (or 26678 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2002012212820 its reverse (282122102002), we get a palindrome (2284134314822).

The spelling of 2002012212820 in words is "two trillion, two billion, twelve million, two hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 857 1714 3428 4285 5851 8570 11702 17140 19963 23404 29255 39926 58510 79852 99815 117020 199630 399260 5014307 10028614 17108291 20057228 25071535 34216582 50143070 68433164 85541455 100286140 116803513 171082910 233607026 342165820 467214052 584017565 1168035130 2336070260 100100610641 200201221282 400402442564 500503053205 1001006106410 2002012212820