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213214000300 = 22527884934421
BaseRepresentation
bin1100011010010010001…
…0110111010010101100
3202101100020202110011221
43012210202313102230
511443130241002200
6241541003553124
721255433046140
oct3064442672254
9671306673157
10213214000300
1182472821204
12353a4b2b7a4
131714bb3a772
14a469035220
15582d59891a
hex31a48b74ac

213214000300 has 72 divisors (see below), whose sum is σ = 528845839200. Its totient is φ = 73091558400.

The previous prime is 213214000271. The next prime is 213214000301. The reversal of 213214000300 is 3000412312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213214000301) 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, 6177090 + ... + 6211510.

It is an arithmetic number, because the mean of its divisors is an integer number (7345081100).

Almost surely, 2213214000300 is an apocalyptic number.

213214000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213214000300 is an abundant number, since it is smaller than the sum of its proper divisors (315631838900).

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

213214000300 is a wasteful number, since it uses less digits than its factorization.

213214000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43291 (or 43284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213214000300 its reverse (3000412312), we get a palindrome (216214412612).

The spelling of 213214000300 in words is "two hundred thirteen billion, two hundred fourteen million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 8849 17698 34421 35396 44245 61943 68842 88490 123886 137684 172105 176980 221225 240947 247772 309715 344210 442450 481894 619430 688420 860525 884900 963788 1204735 1238860 1548575 1721050 2409470 3097150 3442100 4818940 6023675 6194300 12047350 24094700 304591429 609182858 1218365716 1522957145 2132140003 3045914290 4264280006 6091828580 7614785725 8528560012 10660700015 15229571450 21321400030 30459142900 42642800060 53303500075 106607000150 213214000300