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1020211300 = 225229351797
BaseRepresentation
bin111100110011110…
…011000001100100
32122002201002210201
4330303303001210
54042133230200
6245122400244
734165436653
oct7463630144
92562632721
101020211300
11483978939
12245800084
13133495834
14996cd19a
155e874c6a
hex3ccf3064

1020211300 has 36 divisors (see below), whose sum is σ = 2290204980. Its totient is φ = 394011520.

The previous prime is 1020211279. The next prime is 1020211307. The reversal of 1020211300 is 31120201.

1020211300 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 6 ways, for example, as 198471744 + 821739556 = 14088^2 + 28666^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020211307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172999 + ... + 178798.

It is an arithmetic number, because the mean of its divisors is an integer number (63616805).

Almost surely, 21020211300 is an apocalyptic number.

1020211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020211300 is an abundant number, since it is smaller than the sum of its proper divisors (1269993680).

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

1020211300 is a wasteful number, since it uses less digits than its factorization.

1020211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351840 (or 351833 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1020211300 is about 31940.7467038578. The cubic root of 1020211300 is about 1006.6922143617.

Adding to 1020211300 its reverse (31120201), we get a palindrome (1051331501).

The spelling of 1020211300 in words is "one billion, twenty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 351797 703594 1407188 1758985 3517970 7035940 8794925 10202113 17589850 20404226 35179700 40808452 51010565 102021130 204042260 255052825 510105650 1020211300