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2021313300 = 2235235319087
BaseRepresentation
bin111100001111010…
…1100101100010100
312012212110100120120
41320132230230110
513114424011200
6532323431540
7101042610456
oct17036545424
95185410516
102021313300
11947a84666
12484b255b0
132629ca496
141526462d6
15bc6c29a0
hex787acb14

2021313300 has 72 divisors (see below), whose sum is σ = 5865207936. Its totient is φ = 537461760.

The previous prime is 2021313251. The next prime is 2021313313. The reversal of 2021313300 is 33131202.

2021313300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2021313300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96357 + ... + 115443.

Almost surely, 22021313300 is an apocalyptic number.

2021313300 is a gapful number since it is divisible by the number (20) 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 2021313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932603968).

2021313300 is an abundant number, since it is smaller than the sum of its proper divisors (3843894636).

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

2021313300 is a wasteful number, since it uses less digits than its factorization.

2021313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19457 (or 19450 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2021313300 is about 44959.0180052901. The cubic root of 2021313300 is about 1264.3807579151.

Adding to 2021313300 its reverse (33131202), we get a palindrome (2054444502).

The spelling of 2021313300 in words is "two billion, twenty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 353 706 1059 1412 1765 2118 3530 4236 5295 7060 8825 10590 17650 19087 21180 26475 35300 38174 52950 57261 76348 95435 105900 114522 190870 229044 286305 381740 477175 572610 954350 1145220 1431525 1908700 2863050 5726100 6737711 13475422 20213133 26950844 33688555 40426266 67377110 80852532 101065665 134754220 168442775 202131330 336885550 404262660 505328325 673771100 1010656650 2021313300