Search a number
-
+
131000230332 = 223220871743601
BaseRepresentation
bin111101000000000111…
…0001110000110111100
3110112010122001012200200
41322000032032012330
54121242024332312
6140103005323500
712315210404526
oct1720016160674
9415118035620
10131000230332
115061423aa74
122147b866590
13c4791927ba
1464aa276a16
15361aa8d0dc
hex1e8038e1bc

131000230332 has 36 divisors (see below), whose sum is σ = 331298328816. Its totient is φ = 43645795200.

The previous prime is 131000230307. The next prime is 131000230337. The reversal of 131000230332 is 233032000131.

131000230332 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 230 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1310002303322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000230337) 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 11 ways as a sum of consecutive naturals, for example, 796669 + ... + 946932.

It is an arithmetic number, because the mean of its divisors is an integer number (9202731356).

Almost surely, 2131000230332 is an apocalyptic number.

131000230332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131000230332 is an abundant number, since it is smaller than the sum of its proper divisors (200298098484).

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

131000230332 is a wasteful number, since it uses less digits than its factorization.

131000230332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745698 (or 1745693 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131000230332 its reverse (233032000131), we get a palindrome (364032230463).

The spelling of 131000230332 in words is "one hundred thirty-one billion, two hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2087 4174 6261 8348 12522 18783 25044 37566 75132 1743601 3487202 5230803 6974404 10461606 15692409 20923212 31384818 62769636 3638895287 7277790574 10916685861 14555581148 21833371722 32750057583 43666743444 65500115166 131000230332