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131404434 = 23710130977
BaseRepresentation
bin1111101010100…
…01001010010010
3100011021000222220
413311101022102
5232114420214
621012241510
73153630210
oct765211222
9304230886
10131404434
11681a1107
1238010296
13212bab05
1413647cb0
15b8099a9
hex7d51292

131404434 has 32 divisors (see below), whose sum is σ = 303336576. Its totient is φ = 37171200.

The previous prime is 131404421. The next prime is 131404463. The reversal of 131404434 is 434404131.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 11247 + ... + 19730.

It is an arithmetic number, because the mean of its divisors is an integer number (9479268).

Almost surely, 2131404434 is an apocalyptic number.

131404434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131404434 is an abundant number, since it is smaller than the sum of its proper divisors (171932142).

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

131404434 is a wasteful number, since it uses less digits than its factorization.

131404434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31090.

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

The square root of 131404434 is about 11463.1773082335. The cubic root of 131404434 is about 508.3974223833.

Adding to 131404434 its reverse (434404131), we get a palindrome (565808565).

The spelling of 131404434 in words is "one hundred thirty-one million, four hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 101 202 303 606 707 1414 2121 4242 30977 61954 92931 185862 216839 433678 650517 1301034 3128677 6257354 9386031 18772062 21900739 43801478 65702217 131404434