Search a number
-
+
1000212020 = 22566537517
BaseRepresentation
bin111011100111100…
…000011000110100
32120201002000221122
4323213200120310
54022023241040
6243130003112
733533443013
oct7347403064
92521060848
101000212020
11473659105
1223ab76498
1312c2b2842
1496ba4a7a
155cc241b5
hex3b9e0634

1000212020 has 24 divisors (see below), whose sum is σ = 2101040424. Its totient is φ = 399971456.

The previous prime is 1000212019. The next prime is 1000212023. The reversal of 1000212020 is 202120001.

1000212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72522256 + 927689764 = 8516^2 + 30458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000211989 and 1000212007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000212023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129302 + ... + 136818.

It is an arithmetic number, because the mean of its divisors is an integer number (87543351).

Almost surely, 21000212020 is an apocalyptic number.

1000212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212020 is an abundant number, since it is smaller than the sum of its proper divisors (1100828404).

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

1000212020 is a wasteful number, since it uses less digits than its factorization.

1000212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14179 (or 14177 counting only the distinct ones).

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

The square root of 1000212020 is about 31626.1287545599. The cubic root of 1000212020 is about 1000.0706683392.

Adding to 1000212020 its reverse (202120001), we get a palindrome (1202332021).

It can be divided in two parts, 10002 and 12020, that added together give a palindrome (22022).

The spelling of 1000212020 in words is "one billion, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 6653 7517 13306 15034 26612 30068 33265 37585 66530 75170 133060 150340 50010601 100021202 200042404 250053005 500106010 1000212020