Search a number
-
+
13131113300200 = 2352744932087551
BaseRepresentation
bin1011111100010101001101…
…0110000000000011101000
31201111022200212022021200001
42333011103112000003220
53210120010001101300
643532203345352344
72523456141305050
oct277052326000350
951438625267601
1013131113300200
114202968148835
121580a933386b4
137433493b965c
143357992d2560
1517b88510c16a
hexbf1535800e8

13131113300200 has 96 divisors (see below), whose sum is σ = 34899026319360. Its totient is φ = 4501091808000.

The previous prime is 13131113300197. The next prime is 13131113300269. The reversal of 13131113300200 is 200331113131.

It is a super-2 number, since 2×131311133002002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5246425 + ... + 7333975.

It is an arithmetic number, because the mean of its divisors is an integer number (363531524160).

Almost surely, 213131113300200 is an apocalyptic number.

13131113300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131113300200 is an abundant number, since it is smaller than the sum of its proper divisors (21767913019160).

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

13131113300200 is a wasteful number, since it uses less digits than its factorization.

13131113300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092067 (or 2092058 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13131113300200 its reverse (200331113131), we get a palindrome (13331444413331).

The spelling of 13131113300200 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirteen million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 4493 8986 17972 22465 31451 35944 44930 62902 89860 112325 125804 157255 179720 224650 251608 314510 449300 629020 786275 898600 1258040 1572550 2087551 3145100 4175102 6290200 8350204 10437755 14612857 16700408 20875510 29225714 41751020 52188775 58451428 73064285 83502040 104377550 116902856 146128570 208755100 292257140 365321425 417510200 584514280 730642850 1461285700 2922571400 9379366643 18758733286 37517466572 46896833215 65655566501 75034933144 93793666430 131311133002 187587332860 234484166075 262622266004 328277832505 375174665720 468968332150 525244532008 656555665010 937936664300 1313111330020 1641389162525 1875873328600 2626222660040 3282778325050 6565556650100 13131113300200