Search a number
-
+
131226300 = 223252145807
BaseRepresentation
bin1111101001001…
…01101010111100
3100010220222122100
413310211222330
5232043220200
621004345100
73152255652
oct764455274
9303828570
10131226300
116808a297
1237b45190
13212579ca
14135dcdd2
15b7c1d00
hex7d25abc

131226300 has 54 divisors (see below), whose sum is σ = 411324368. Its totient is φ = 34993440.

The previous prime is 131226289. The next prime is 131226301. The reversal of 131226300 is 3622131.

131226300 is a `hidden beast` number, since 1 + 31 + 2 + 2 + 630 + 0 = 666.

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 (131226301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72004 + ... + 73803.

Almost surely, 2131226300 is an apocalyptic number.

131226300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131226300 is an abundant number, since it is smaller than the sum of its proper divisors (280098068).

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

131226300 is a wasteful number, since it uses less digits than its factorization.

131226300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145827 (or 145817 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131226300 is about 11455.4048378920. The cubic root of 131226300 is about 508.1675878757.

Adding to 131226300 its reverse (3622131), we get a palindrome (134848431).

The spelling of 131226300 in words is "one hundred thirty-one million, two hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 145807 291614 437421 583228 729035 874842 1312263 1458070 1749684 2187105 2624526 2916140 3645175 4374210 5249052 6561315 7290350 8748420 10935525 13122630 14580700 21871050 26245260 32806575 43742100 65613150 131226300