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2021300400 = 243527240631
BaseRepresentation
bin111100001111010…
…1001100010110000
312012212102200212210
41320132221202300
513114423103100
6532323252120
7101042525040
oct17036514260
95185380783
102021300400
11947a759a9
12484b1a040
132629c4652
14152641720
15bc6bdc50
hex787a98b0

2021300400 has 120 divisors (see below), whose sum is σ = 7399915264. Its totient is φ = 462009600.

The previous prime is 2021300371. The next prime is 2021300401. The reversal of 2021300400 is 40031202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2021300401) 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, 111916 + ... + 128715.

Almost surely, 22021300400 is an apocalyptic number.

2021300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021300400 is an abundant number, since it is smaller than the sum of its proper divisors (5378614864).

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

2021300400 is a wasteful number, since it uses less digits than its factorization.

2021300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240659 (or 240648 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2021300400 is about 44958.8745410736. The cubic root of 2021300400 is about 1264.3780681545.

Adding to 2021300400 its reverse (40031202), we get a palindrome (2061331602).

The spelling of 2021300400 in words is "two billion, twenty-one million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 240631 481262 721893 962524 1203155 1443786 1684417 1925048 2406310 2887572 3368834 3609465 3850096 4812620 5053251 5775144 6015775 6737668 7218930 8422085 9625240 10106502 11550288 12031550 13475336 14437860 16844170 18047325 19250480 20213004 24063100 25266255 26950672 28875720 33688340 36094650 40426008 42110425 48126200 50532510 57751440 67376680 72189300 80852016 84220850 96252400 101065020 126331275 134753360 144378600 168441700 202130040 252662550 288757200 336883400 404260080 505325100 673766800 1010650200 2021300400