Search a number
-
+
1001012020 = 225172944153
BaseRepresentation
bin111011101010100…
…011101100110100
32120202120200100021
4323222203230310
54022224341040
6243155054524
733543314251
oct7352435464
92522520307
101001012020
11474055168
1223b2a1444
1312c502a08
1496d32428
155cd3124a
hex3baa3b34

1001012020 has 24 divisors (see below), whose sum is σ = 2225780424. Its totient is φ = 376851456.

The previous prime is 1001011987. The next prime is 1001012087. The reversal of 1001012020 is 202101001.

It can be written as a sum of positive squares in 4 ways, for example, as 227949604 + 773062416 = 15098^2 + 27804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001011994 and 1001012012.

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 7 ways as a sum of consecutive naturals, for example, 1471737 + ... + 1472416.

It is an arithmetic number, because the mean of its divisors is an integer number (92740851).

Almost surely, 21001012020 is an apocalyptic number.

1001012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012020 is an abundant number, since it is smaller than the sum of its proper divisors (1224768404).

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

1001012020 is a wasteful number, since it uses less digits than its factorization.

1001012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944179 (or 2944177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1001012020 is about 31638.7739964746. The cubic root of 1001012020 is about 1000.3372262657.

Adding to 1001012020 its reverse (202101001), we get a palindrome (1203113021).

The spelling of 1001012020 in words is "one billion, one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2944153 5888306 11776612 14720765 29441530 50050601 58883060 100101202 200202404 250253005 500506010 1001012020