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131433126 = 23114148571
BaseRepresentation
bin1111101010110…
…00001010100110
3100011022111100120
413311120022212
5232121330001
621013022410
73154106646
oct765301246
9304274316
10131433126
1168210720
1238024a06
13212caba6
1413654526
15b813236
hex7d582a6

131433126 has 32 divisors (see below), whose sum is σ = 293763456. Its totient is φ = 38856000.

The previous prime is 131433121. The next prime is 131433143. The reversal of 131433126 is 621334131.

It is a happy number.

It is a super-2 number, since 2×1314331262 = 34549333220263752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131433096 and 131433105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131433121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21580 + ... + 26991.

It is an arithmetic number, because the mean of its divisors is an integer number (9180108).

Almost surely, 2131433126 is an apocalyptic number.

131433126 is an abundant number, since it is smaller than the sum of its proper divisors (162330330).

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

131433126 is a wasteful number, since it uses less digits than its factorization.

131433126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48628.

The product of its digits is 1296, while the sum is 24.

The square root of 131433126 is about 11464.4287254097. The cubic root of 131433126 is about 508.4344223455.

Adding to 131433126 its reverse (621334131), we get a palindrome (752767257).

The spelling of 131433126 in words is "one hundred thirty-one million, four hundred thirty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 48571 97142 145713 291426 534281 1068562 1602843 1991411 3205686 3982822 5974233 11948466 21905521 43811042 65716563 131433126