Search a number
-
+
131000300200 = 23527118506513
BaseRepresentation
bin111101000000000111…
…0011111001010101000
3110112010122011202112101
41322000032133022220
54121242034101300
6140103011023144
712315211115320
oct1720016371250
9415118152471
10131000300200
1150614288510
122147b89aab4
13c4791b8543
1464aa294280
15361aaa3b6a
hex1e8039f2a8

131000300200 has 96 divisors (see below), whose sum is σ = 379730784960. Its totient is φ = 40831257600.

The previous prime is 131000300191. The next prime is 131000300209. The reversal of 131000300200 is 2003000131.

It is an interprime number because it is at equal distance from previous prime (131000300191) and next prime (131000300209).

It is a super-2 number, since 2×1310003002002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (131000300209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237857 + ... + 4268656.

It is an arithmetic number, because the mean of its divisors is an integer number (3955529010).

Almost surely, 2131000300200 is an apocalyptic number.

131000300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000300200 is an abundant number, since it is smaller than the sum of its proper divisors (248730484760).

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

131000300200 is a wasteful number, since it uses less digits than its factorization.

131000300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506547 (or 8506538 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 131000300200 its reverse (2003000131), we get a palindrome (133003300331).

The spelling of 131000300200 in words is "one hundred thirty-one billion, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 8506513 17013026 34026052 42532565 59545591 68052104 85065130 93571643 119091182 170130260 187143286 212662825 238182364 297727955 340260520 374286572 425325650 467858215 476364728 595455910 655001501 748573144 850651300 935716430 1190911820 1310003002 1488639775 1701302600 1871432860 2339291075 2381823640 2620006004 2977279550 3275007505 3742865720 4678582150 5240012008 5954559100 6550015010 9357164300 11909118200 13100030020 16375037525 18714328600 26200060040 32750075050 65500150100 131000300200