Search a number
-
+
131321220012 = 22324337841091
BaseRepresentation
bin111101001001101011…
…0101100101110101100
3110112222000001011202100
41322103112230232230
54122421213020022
6140154513255100
712326155644513
oct1722326545654
9415860034670
10131321220012
11507694502a4
122154b264490
13c4ca82c318
1464dab5167a
153638d461ac
hex1e935acbac

131321220012 has 36 divisors (see below), whose sum is σ = 332027795736. Its totient is φ = 43763594880.

The previous prime is 131321220011. The next prime is 131321220113. The reversal of 131321220012 is 210022123131.

131321220012 is a `hidden beast` number, since 131 + 321 + 2 + 200 + 12 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (131321220011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264414 + ... + 576677.

It is an arithmetic number, because the mean of its divisors is an integer number (9222994326).

Almost surely, 2131321220012 is an apocalyptic number.

131321220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131321220012 is an abundant number, since it is smaller than the sum of its proper divisors (200706575724).

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

131321220012 is a wasteful number, since it uses less digits than its factorization.

131321220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845438 (or 845433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131321220012 its reverse (210022123131), we get a palindrome (341343343143).

The spelling of 131321220012 in words is "one hundred thirty-one billion, three hundred twenty-one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4337 8674 13011 17348 26022 39033 52044 78066 156132 841091 1682182 2523273 3364364 5046546 7569819 10093092 15139638 30279276 3647811667 7295623334 10943435001 14591246668 21886870002 32830305003 43773740004 65660610006 131321220012