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2001221001220 = 2257181439179897
BaseRepresentation
bin11101000111110010000…
…100010010000000000100
321002022111112101010202111
4131013302010102000010
5230242000034014340
64131203115150404
7264404056562260
oct35076204220004
97068445333674
102001221001220
117017930a1101
12283a24a45404
131169394cc8bc
146cc06ac90a0
15370ca2b5aea
hex1d1f2112004

2001221001220 has 96 divisors (see below), whose sum is σ = 4840493898240. Its totient is φ = 680784030720.

The previous prime is 2001221001211. The next prime is 2001221001229. The reversal of 2001221001220 is 221001221002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001221001211) and next prime (2001221001229).

It is a self number, because there is not a number n which added to its sum of digits gives 2001221001220.

It is not an unprimeable number, because it can be changed into a prime (2001221001229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11034312 + ... + 11214208.

It is an arithmetic number, because the mean of its divisors is an integer number (50421811440).

Almost surely, 22001221001220 is an apocalyptic number.

2001221001220 is a gapful number since it is divisible by the number (20) 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 2001221001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420246949120).

2001221001220 is an abundant number, since it is smaller than the sum of its proper divisors (2839272897020).

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

2001221001220 is a wasteful number, since it uses less digits than its factorization.

2001221001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180533 (or 180531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2001221001220 its reverse (221001221002), we get a palindrome (2222222222222).

The spelling of 2001221001220 in words is "two trillion, one billion, two hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 439 724 878 905 1267 1756 1810 2195 2534 3073 3620 4390 5068 6146 6335 8780 12292 12670 15365 25340 30730 61460 79459 158918 179897 317836 359794 397295 556213 719588 794590 899485 1112426 1259279 1589180 1798970 2224852 2518558 2781065 3597940 5037116 5562130 6296395 11124260 12592790 25185580 32561357 65122714 78974783 130245428 157949566 162806785 227929499 315899132 325613570 394873915 455858998 552823481 651227140 789747830 911717996 1105646962 1139647495 1579495660 2211293924 2279294990 2764117405 4558589980 5528234810 11056469620 14294435723 28588871446 57177742892 71472178615 100061050061 142944357230 200122100122 285888714460 400244200244 500305250305 1000610500610 2001221001220