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1020020300 = 2252131077333
BaseRepresentation
bin111100110011000…
…100011001001100
32122002100101210122
4330303010121030
54042111122200
6245114324112
734164013055
oct7463043114
92562311718
101020020300
11483858392
12245729638
13133429910
149967d72c
155e838385
hex3ccc464c

1020020300 has 72 divisors (see below), whose sum is σ = 2406314736. Its totient is φ = 373052160.

The previous prime is 1020020299. The next prime is 1020020303. The reversal of 1020020300 is 30200201.

It is not an unprimeable number, because it can be changed into a prime (1020020303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135434 + ... + 142766.

It is an arithmetic number, because the mean of its divisors is an integer number (33421038).

Almost surely, 21020020300 is an apocalyptic number.

1020020300 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 1020020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203157368).

1020020300 is an abundant number, since it is smaller than the sum of its proper divisors (1386294436).

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

1020020300 is a wasteful number, since it uses less digits than its factorization.

1020020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1020020300 is about 31937.7566525891. The cubic root of 1020020300 is about 1006.6293874377.

Adding to 1020020300 its reverse (30200201), we get a palindrome (1050220501).

The spelling of 1020020300 in words is "one billion, twenty million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 535 650 1070 1300 1391 2140 2675 2782 5350 5564 6955 7333 10700 13910 14666 27820 29332 34775 36665 69550 73330 95329 139100 146660 183325 190658 366650 381316 476645 733300 784631 953290 1569262 1906580 2383225 3138524 3923155 4766450 7846310 9532900 10200203 15692620 19615775 20400406 39231550 40800812 51001015 78463100 102002030 204004060 255005075 510010150 1020020300