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131224140 = 22325729023
BaseRepresentation
bin1111101001001…
…01001001001100
3100010220212200100
413310211021030
5232043133030
621004331100
73152246445
oct764451114
9303825610
10131224140
1168088703
1237b43a90
1321256a28
14135dc2cc
15b7c1360
hex7d2524c

131224140 has 36 divisors (see below), whose sum is σ = 398047104. Its totient is φ = 34993056.

The previous prime is 131224097. The next prime is 131224157. The reversal of 131224140 is 41422131.

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 364332 + ... + 364691.

It is an arithmetic number, because the mean of its divisors is an integer number (11056864).

Almost surely, 2131224140 is an apocalyptic number.

131224140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131224140 is an abundant number, since it is smaller than the sum of its proper divisors (266822964).

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

131224140 is a wasteful number, since it uses less digits than its factorization.

131224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729038 (or 729033 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131224140 is about 11455.3105588631. The cubic root of 131224140 is about 508.1647996948.

Adding to 131224140 its reverse (41422131), we get a palindrome (172646271).

It can be divided in two parts, 1312 and 24140, that added together give a palindrome (25452).

The spelling of 131224140 in words is "one hundred thirty-one million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 729023 1458046 2187069 2916092 3645115 4374138 6561207 7290230 8748276 10935345 13122414 14580460 21870690 26244828 32806035 43741380 65612070 131224140