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131322444 = 22311994867
BaseRepresentation
bin1111101001111…
…01001001001100
3100011002212112020
413310331021030
5232104304234
621010410140
73153136161
oct764751114
9304085466
10131322444
1168145550
1237b90950
132128c6b6
1413626068
15b7e0549
hex7d3d24c

131322444 has 24 divisors (see below), whose sum is σ = 334275648. Its totient is φ = 39794640.

The previous prime is 131322431. The next prime is 131322449. The reversal of 131322444 is 444223131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131322449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497302 + ... + 497565.

It is an arithmetic number, because the mean of its divisors is an integer number (13928152).

Almost surely, 2131322444 is an apocalyptic number.

It is an amenable number.

131322444 is an abundant number, since it is smaller than the sum of its proper divisors (202953204).

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

131322444 is a wasteful number, since it uses less digits than its factorization.

131322444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994885 (or 994883 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 131322444 is about 11459.6005165974. The cubic root of 131322444 is about 508.2916619308.

Adding to 131322444 its reverse (444223131), we get a palindrome (575545575).

It can be divided in two parts, 13132 and 2444, that added together give a triangular number (15576 = T176).

The spelling of 131322444 in words is "one hundred thirty-one million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 994867 1989734 2984601 3979468 5969202 10943537 11938404 21887074 32830611 43774148 65661222 131322444