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2002020020 = 2257112139091
BaseRepresentation
bin111011101010100…
…0110011010110100
312011112011011011122
41313111012122310
513100004120040
6530354123112
7100416614030
oct16725063264
95145134148
102002020020
119380a7300
1247a580498
1325ba03940
1414dc631c0
15bab611b5
hex775466b4

2002020020 has 144 divisors (see below), whose sum is σ = 5688246144. Its totient is φ = 575942400.

The previous prime is 2002019947. The next prime is 2002020029. The reversal of 2002020020 is 200202002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020029) 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 47 ways as a sum of consecutive naturals, for example, 215675 + ... + 224765.

Almost surely, 22002020020 is an apocalyptic number.

2002020020 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 2002020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844123072).

2002020020 is an abundant number, since it is smaller than the sum of its proper divisors (3686226124).

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

2002020020 is a wasteful number, since it uses less digits than its factorization.

2002020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2002020020 is about 44743.9383604081. The cubic root of 2002020020 is about 1260.3450847869.

Adding to 2002020020 its reverse (200202002), we get a palindrome (2202222022).

The spelling of 2002020020 in words is "two billion, two million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 9091 10010 11011 15730 16940 18182 20020 22022 31460 36364 44044 45455 55055 63637 90910 100001 110110 118183 127274 181820 200002 220220 236366 254548 318185 400004 472732 500005 590915 636370 700007 827281 1000010 1100011 1181830 1272740 1300013 1400014 1654562 2000020 2200022 2363660 2600026 2800028 3309124 3500035 4136405 4400044 5200052 5500055 6500065 7000070 7700077 8272810 9100091 11000110 13000130 14000140 14300143 15400154 16545620 18200182 22000220 26000260 28600286 30800308 36400364 38500385 45500455 57200572 71500715 77000770 91000910 100101001 143001430 154001540 182001820 200202002 286002860 400404004 500505005 1001010010 2002020020