Search a number
-
+
2013130200 = 2335223145879
BaseRepresentation
bin111011111111101…
…1110110111011000
312012022001121110210
41313333132313120
513110330131300
6531432211120
7100613216154
oct16777366730
95168047423
102013130200
119433a5574
12482239aa0
132610c3903
14151516064
15bbb08050
hex77fdedd8

2013130200 has 96 divisors (see below), whose sum is σ = 6512083200. Its totient is φ = 513490560.

The previous prime is 2013130193. The next prime is 2013130201. The reversal of 2013130200 is 20313102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013130201) 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, 59140 + ... + 86739.

It is an arithmetic number, because the mean of its divisors is an integer number (67834200).

Almost surely, 22013130200 is an apocalyptic number.

2013130200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013130200 is an abundant number, since it is smaller than the sum of its proper divisors (4498953000).

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

2013130200 is a wasteful number, since it uses less digits than its factorization.

2013130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145921 (or 145912 counting only the distinct ones).

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

The square root of 2013130200 is about 44867.9194971195. The cubic root of 2013130200 is about 1262.6722073366.

Adding to 2013130200 its reverse (20313102), we get a palindrome (2033443302).

The spelling of 2013130200 in words is "two billion, thirteen million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 145879 291758 437637 583516 729395 875274 1167032 1458790 1750548 2188185 2917580 3355217 3501096 3646975 4376370 5835160 6710434 7293950 8752740 10065651 10940925 13420868 14587900 16776085 17505480 20131302 21881850 26841736 29175800 33552170 40262604 43763700 50328255 67104340 80525208 83880425 87527400 100656510 134208680 167760850 201313020 251641275 335521700 402626040 503282550 671043400 1006565100 2013130200