Search a number
-
+
2013310200 = 2335211305047
BaseRepresentation
bin111100000000000…
…1010110011111000
312012022101202101110
41320000022303320
513110401411300
6531440120320
7100614566016
oct17000126370
95168352343
102013310200
11943508830
124823060a0
13261157815
141515618b6
15bbb41550
hex7800acf8

2013310200 has 96 divisors (see below), whose sum is σ = 6808671360. Its totient is φ = 488073600.

The previous prime is 2013310183. The next prime is 2013310249. The reversal of 2013310200 is 20133102.

It is a happy number.

It is a super-2 number, since 2×20133102002 = 8106835922848080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145924 + ... + 159123.

It is an arithmetic number, because the mean of its divisors is an integer number (70923660).

Almost surely, 22013310200 is an apocalyptic number.

2013310200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013310200 is an abundant number, since it is smaller than the sum of its proper divisors (4795361160).

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

2013310200 is a wasteful number, since it uses less digits than its factorization.

2013310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305077 (or 305068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013310200 is about 44869.9253398086. The cubic root of 2013310200 is about 1262.7098393161.

Adding to 2013310200 its reverse (20133102), we get a palindrome (2033443302).

2013310200 divided by its reverse (20133102) gives a square (100 = 102).

It can be divided in two parts, 2013 and 310200, that added together give a palindrome (312213).

The spelling of 2013310200 in words is "two billion, thirteen million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 305047 610094 915141 1220188 1525235 1830282 2440376 3050470 3355517 3660564 4575705 6100940 6711034 7321128 7626175 9151410 10066551 12201880 13422068 15252350 16777585 18302820 20133102 22878525 26844136 30504700 33555170 36605640 40266204 45757050 50332755 61009400 67110340 80532408 83887925 91514100 100665510 134220680 167775850 183028200 201331020 251663775 335551700 402662040 503327550 671103400 1006655100 2013310200