Search a number
-
+
213000013310200 = 235210611249803659
BaseRepresentation
bin110000011011100011101110…
…001000010110100011111000
31000221011121021011011211000021
4300123203232020112203320
5210404243011401411300
62033002504423220224
762602512615243364
oct6033435610264370
91027147234154007
10213000013310200
1161960886684206
121ba809b55a7674
1391b0a7992774c
143a853817122a4
1519959449a4d1a
hexc1b8ee2168f8

213000013310200 has 96 divisors (see below), whose sum is σ = 496089272250000. Its totient is φ = 85051447603200.

The previous prime is 213000013310179. The next prime is 213000013310209. The reversal of 213000013310200 is 2013310000312.

It is a super-2 number, since 2×2130000133102002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000013310209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264635971 + ... + 265439629.

Almost surely, 2213000013310200 is an apocalyptic number.

213000013310200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000013310200 is an abundant number, since it is smaller than the sum of its proper divisors (283089258939800).

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

213000013310200 is a wasteful number, since it uses less digits than its factorization.

213000013310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805985 (or 805976 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213000013310200 its reverse (2013310000312), we get a palindrome (215013323310512).

The spelling of 213000013310200 in words is "two hundred thirteen trillion, thirteen million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1061 1249 2122 2498 4244 4996 5305 6245 8488 9992 10610 12490 21220 24980 26525 31225 42440 49960 53050 62450 106100 124900 212200 249800 803659 1325189 1607318 2650378 3214636 4018295 5300756 6429272 6625945 8036590 10601512 13251890 16073180 20091475 26503780 32146360 33129725 40182950 53007560 66259450 80365900 132518900 160731800 265037800 852682199 1003770091 1705364398 2007540182 3410728796 4015080364 4263410995 5018850455 6821457592 8030160728 8526821990 10037700910 17053643980 20075401820 21317054975 25094252275 34107287960 40150803640 42634109950 50188504550 85268219900 100377009100 170536439800 200754018200 1065000066551 2130000133102 4260000266204 5325000332755 8520000532408 10650000665510 21300001331020 26625001663775 42600002662040 53250003327550 106500006655100 213000013310200