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1020220300 = 2252117113063
BaseRepresentation
bin111100110011110…
…101001110001100
32122002201120011001
4330303311032030
54042134022200
6245122510044
734165505131
oct7463651614
92562646131
101020220300
11483984680
12245805324
13133499968
14996d2588
155e87776a
hex3ccf538c

1020220300 has 72 divisors (see below), whose sum is σ = 2449343232. Its totient is φ = 365736000.

The previous prime is 1020220259. The next prime is 1020220301. The reversal of 1020220300 is 30220201.

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 (1020220301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71569 + ... + 84631.

It is an arithmetic number, because the mean of its divisors is an integer number (34018656).

Almost surely, 21020220300 is an apocalyptic number.

1020220300 is a gapful number since it is divisible by the number (10) 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 1020220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224671616).

1020220300 is an abundant number, since it is smaller than the sum of its proper divisors (1429122932).

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

1020220300 is a wasteful number, since it uses less digits than its factorization.

1020220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1020220300 is about 31940.8875894206. The cubic root of 1020220300 is about 1006.6951745992.

Adding to 1020220300 its reverse (30220201), we get a palindrome (1050440501).

Subtracting from 1020220300 its reverse (30220201), we obtain a palindrome (990000099).

The spelling of 1020220300 in words is "one billion, twenty million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 13063 15620 19525 26126 39050 52252 65315 78100 130630 143693 261260 287386 326575 574772 653150 718465 927473 1306300 1436930 1854946 2873860 3592325 3709892 4637365 7184650 9274730 10202203 14369300 18549460 20404406 23186825 40808812 46373650 51011015 92747300 102022030 204044060 255055075 510110150 1020220300