Search a number
-
+
2001001020 = 2235311075807
BaseRepresentation
bin111011101000100…
…1101101000111100
312011110020101100220
41313101031220330
513044224013040
6530320221340
7100405141134
oct16721155074
95143211326
102001001020
11937570757
1247a16a850
1325b737b95
1414da79ac4
15baa0e2d0
hex7744da3c

2001001020 has 48 divisors (see below), whose sum is σ = 5783543808. Its totient is φ = 516386880.

The previous prime is 2001001019. The next prime is 2001001091. The reversal of 2001001020 is 201001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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, 536044 + ... + 539763.

It is an arithmetic number, because the mean of its divisors is an integer number (120490496).

Almost surely, 22001001020 is an apocalyptic number.

2001001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001001020 is an abundant number, since it is smaller than the sum of its proper divisors (3782542788).

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

2001001020 is a wasteful number, since it uses less digits than its factorization.

2001001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075850 (or 1075848 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001001020 is about 44732.5498937854. The cubic root of 2001001020 is about 1260.1312158636.

Adding to 2001001020 its reverse (201001002), we get a palindrome (2202002022).

The spelling of 2001001020 in words is "two billion, one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 1075807 2151614 3227421 4303228 5379035 6454842 10758070 12909684 16137105 21516140 32274210 33350017 64548420 66700034 100050051 133400068 166750085 200100102 333500170 400200204 500250255 667000340 1000500510 2001001020