Search a number
-
+
131131221220 = 22537971826849
BaseRepresentation
bin111101000100000000…
…1111010010011100100
3110112110202112020102001
41322020001322103210
54122024043034340
6140124005055044
712321360663256
oct1721001722344
9415422466361
10131131221220
11506811793aa
12214b76b7484
13c49a3672bc
1464bd813cd6
15362731529a
hex1e8807a4e4

131131221220 has 48 divisors (see below), whose sum is σ = 285733954800. Its totient is φ = 50508693504.

The previous prime is 131131221217. The next prime is 131131221251. The reversal of 131131221220 is 22122131131.

It can be written as a sum of positive squares in 8 ways, for example, as 6120676 + 131125100544 = 2474^2 + 362112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841645 + ... + 985204.

It is an arithmetic number, because the mean of its divisors is an integer number (5952790725).

Almost surely, 2131131221220 is an apocalyptic number.

131131221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131131221220 is an abundant number, since it is smaller than the sum of its proper divisors (154602733580).

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

131131221220 is a wasteful number, since it uses less digits than its factorization.

131131221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826992 (or 1826990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 131131221220 its reverse (22122131131), we get a palindrome (153253352351).

The spelling of 131131221220 in words is "one hundred thirty-one billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 485 740 970 1940 3589 7178 14356 17945 35890 71780 1826849 3653698 7307396 9134245 18268490 36536980 67593413 135186826 177204353 270373652 337967065 354408706 675934130 708817412 886021765 1351868260 1772043530 3544087060 6556561061 13113122122 26226244244 32782805305 65565610610 131131221220