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131344140 = 22358272647
BaseRepresentation
bin1111101010000…
…10011100001100
3100011010222021210
413311002130030
5232111003030
621011054420
73153256344
oct765023414
9304128253
10131344140
116815a884
1237ba1410
1321299535
141362dd24
15b7e6bb0
hex7d4270c

131344140 has 48 divisors (see below), whose sum is σ = 368347392. Its totient is φ = 34969536.

The previous prime is 131344139. The next prime is 131344141. The reversal of 131344140 is 41443131.

It is an interprime number because it is at equal distance from previous prime (131344139) and next prime (131344141).

It is a super-2 number, since 2×1313441402 = 34502566224679200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131344141) 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, 48297 + ... + 50943.

It is an arithmetic number, because the mean of its divisors is an integer number (7673904).

Almost surely, 2131344140 is an apocalyptic number.

131344140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344140 is an abundant number, since it is smaller than the sum of its proper divisors (237003252).

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

131344140 is a wasteful number, since it uses less digits than its factorization.

131344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 131344140 is about 11460.5471073592. The cubic root of 131344140 is about 508.3196522939.

Adding to 131344140 its reverse (41443131), we get a palindrome (172787271).

The spelling of 131344140 in words is "one hundred thirty-one million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 827 1654 2481 2647 3308 4135 4962 5294 7941 8270 9924 10588 12405 13235 15882 16540 24810 26470 31764 39705 49620 52940 79410 158820 2189069 4378138 6567207 8756276 10945345 13134414 21890690 26268828 32836035 43781380 65672070 131344140