Search a number
-
+
131221830 = 23510940129
BaseRepresentation
bin1111101001001…
…00100101000110
3100010220202111210
413310210211012
5232043044310
621004312250
73152236635
oct764444506
9303822453
10131221830
11680869a3
1237b42686
132125596c
14135db51c
15b7c0820
hex7d24946

131221830 has 32 divisors (see below), whose sum is σ = 317829600. Its totient is φ = 34670592.

The previous prime is 131221823. The next prime is 131221837. The reversal of 131221830 is 38122131.

It is an interprime number because it is at equal distance from previous prime (131221823) and next prime (131221837).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131221797 and 131221806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16795 + ... + 23334.

It is an arithmetic number, because the mean of its divisors is an integer number (9932175).

Almost surely, 2131221830 is an apocalyptic number.

131221830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131221830 is an abundant number, since it is smaller than the sum of its proper divisors (186607770).

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

131221830 is a wasteful number, since it uses less digits than its factorization.

131221830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40248.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131221830 is about 11455.2097318207. The cubic root of 131221830 is about 508.1618178563.

Adding to 131221830 its reverse (38122131), we get a palindrome (169343961).

The spelling of 131221830 in words is "one hundred thirty-one million, two hundred twenty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 109 218 327 545 654 1090 1635 3270 40129 80258 120387 200645 240774 401290 601935 1203870 4374061 8748122 13122183 21870305 26244366 43740610 65610915 131221830