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1021313300 = 225272950311
BaseRepresentation
bin111100111000000…
…000000100010100
32122011210002110112
4330320000010110
54042424011200
6245202142152
734211006540
oct7470000424
92564702415
101021313300
11484560887
12246051958
131337902c7
14998d8a20
155e9e1535
hex3ce00114

1021313300 has 72 divisors (see below), whose sum is σ = 2620248960. Its totient is φ = 338083200.

The previous prime is 1021313297. The next prime is 1021313303. The reversal of 1021313300 is 33131201.

It is an interprime number because it is at equal distance from previous prime (1021313297) and next prime (1021313303).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021313303) 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, 4856 + ... + 45455.

Almost surely, 21021313300 is an apocalyptic number.

1021313300 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 1021313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310124480).

1021313300 is an abundant number, since it is smaller than the sum of its proper divisors (1598935660).

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

1021313300 is a wasteful number, since it uses less digits than its factorization.

1021313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50361 (or 50354 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1021313300 is about 31957.9927404710. The cubic root of 1021313300 is about 1007.0545496356.

Adding to 1021313300 its reverse (33131201), we get a palindrome (1054444501).

The spelling of 1021313300 in words is "one billion, twenty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 50311 100622 201244 251555 352177 503110 704354 1006220 1257775 1408708 1459019 1760885 2515550 2918038 3521770 5031100 5836076 7043540 7295095 8804425 10213133 14590190 17608850 20426266 29180380 35217700 36475475 40852532 51065665 72950950 102131330 145901900 204262660 255328325 510656650 1021313300