Search a number
-
+
131213000 = 2353131213
BaseRepresentation
bin1111101001000…
…10011011001000
3100010220022101202
413310202123020
5232042304000
621004203332
73152202122
oct764423310
9303808352
10131213000
11680802a6
1237b39548
1321251939
14135d8212
15b7bcdd5
hex7d226c8

131213000 has 32 divisors (see below), whose sum is σ = 307040760. Its totient is φ = 52484800.

The previous prime is 131212951. The next prime is 131213009. The reversal of 131213000 is 312131.

It can be written as a sum of positive squares in 4 ways, for example, as 84235684 + 46977316 = 9178^2 + 6854^2 .

It is not an unprimeable number, because it can be changed into a prime (131213009) 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 7 ways as a sum of consecutive naturals, for example, 64607 + ... + 66606.

Almost surely, 2131213000 is an apocalyptic number.

131213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213000 is an abundant number, since it is smaller than the sum of its proper divisors (175827760).

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

131213000 is a wasteful number, since it uses less digits than its factorization.

131213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131234 (or 131220 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131213000 is about 11454.8243111800. The cubic root of 131213000 is about 508.1504194238.

Adding to 131213000 its reverse (312131), we get a palindrome (131525131).

The spelling of 131213000 in words is "one hundred thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 131213 262426 524852 656065 1049704 1312130 2624260 3280325 5248520 6560650 13121300 16401625 26242600 32803250 65606500 131213000