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2001121220 = 2257291273881
BaseRepresentation
bin111011101000110…
…1010111111000100
312011110110111020202
41313101222333010
513044241334340
6530322550032
7100406151440
oct16721527704
95143414222
102001121220
11937642a9a
1247a208318
1325b77a7c7
1414daab820
15baa34c15
hex7746afc4

2001121220 has 96 divisors (see below), whose sum is σ = 5008711680. Its totient is φ = 657054720.

The previous prime is 2001121217. The next prime is 2001121223. The reversal of 2001121220 is 221211002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001121217) and next prime (2001121223).

It is a super-2 number, since 2×20011212202 = 8008972274268576800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001121223) 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, 513680 + ... + 517560.

It is an arithmetic number, because the mean of its divisors is an integer number (52174080).

Almost surely, 22001121220 is an apocalyptic number.

2001121220 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 2001121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504355840).

2001121220 is an abundant number, since it is smaller than the sum of its proper divisors (3007590460).

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

2001121220 is a wasteful number, since it uses less digits than its factorization.

2001121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2001121220 is about 44733.8934142782. The cubic root of 2001121220 is about 1260.1564473582.

Adding to 2001121220 its reverse (221211002), we get a palindrome (2222332222).

The spelling of 2001121220 in words is "two billion, one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 127 140 145 203 254 290 406 508 580 635 812 889 1015 1270 1778 2030 2540 3556 3683 3881 4060 4445 7366 7762 8890 14732 15524 17780 18415 19405 25781 27167 36830 38810 51562 54334 73660 77620 103124 108668 112549 128905 135835 225098 257810 271670 450196 492887 515620 543340 562745 787843 985774 1125490 1575686 1971548 2250980 2464435 3151372 3450209 3939215 4928870 6900418 7878430 9857740 13800836 14293723 15756860 17251045 28587446 34502090 57174892 69004180 71468615 100056061 142937230 200112122 285874460 400224244 500280305 1000560610 2001121220