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2001201020 = 2257132347807
BaseRepresentation
bin111011101000111…
…1110011101111100
312011110121112201022
41313101332131330
513044301413040
6530324403312
7100406633210
oct16721763574
95143545638
102001201020
11937697a45
1247a246538
1325b7a7c20
1414dacc940
15baa4d6b5
hex7747e77c

2001201020 has 96 divisors (see below), whose sum is σ = 5397331968. Its totient is φ = 605797632.

The previous prime is 2001201017. The next prime is 2001201023. The reversal of 2001201020 is 201021002.

It is an interprime number because it is at equal distance from previous prime (2001201017) and next prime (2001201023).

It is a junction number, because it is equal to n+sod(n) for n = 2001200989 and 2001201007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001201023) 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, 17957 + ... + 65763.

It is an arithmetic number, because the mean of its divisors is an integer number (56222208).

Almost surely, 22001201020 is an apocalyptic number.

2001201020 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 2001201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698665984).

2001201020 is an abundant number, since it is smaller than the sum of its proper divisors (3396130948).

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

2001201020 is a wasteful number, since it uses less digits than its factorization.

2001201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47859 (or 47857 counting only the distinct ones).

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

The square root of 2001201020 is about 44734.7853465287. The cubic root of 2001201020 is about 1260.1731978257.

Adding to 2001201020 its reverse (201021002), we get a palindrome (2202222022).

The spelling of 2001201020 in words is "two billion, one million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 1196 1495 1610 1820 2093 2990 3220 4186 5980 8372 10465 20930 41860 47807 95614 191228 239035 334649 478070 621491 669298 956140 1099561 1242982 1338596 1673245 2199122 2485964 3107455 3346490 4350437 4398244 5497805 6214910 6692980 7696927 8700874 10995610 12429820 14294293 15393854 17401748 21752185 21991220 28588586 30787708 38484635 43504370 57177172 71471465 76969270 87008740 100060051 142942930 153938540 200120102 285885860 400240204 500300255 1000600510 2001201020