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126344031 = 31110137907
BaseRepresentation
bin1111000011111…
…01101101011111
322210201221102120
413201331231133
5224321002111
620311554023
73062622642
oct741755537
9283657376
10126344031
1165355160
123638b913
13202386a8
1412acba59
15b15a406
hex787db5f

126344031 has 16 divisors (see below), whose sum is σ = 185597568. Its totient is φ = 75812000.

The previous prime is 126343967. The next prime is 126344033. The reversal of 126344031 is 130443621.

It is not a de Polignac number, because 126344031 - 26 = 126343967 is a prime.

It is a super-2 number, since 2×1263440312 = 31925628338657922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126343992 and 126344010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126344033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15621 + ... + 22286.

It is an arithmetic number, because the mean of its divisors is an integer number (11599848).

Almost surely, 2126344031 is an apocalyptic number.

126344031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126344031 is a deficient number, since it is larger than the sum of its proper divisors (59253537).

126344031 is a wasteful number, since it uses less digits than its factorization.

126344031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38022.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126344031 is about 11240.2860728720. The cubic root of 126344031 is about 501.7856566027.

Adding to 126344031 its reverse (130443621), we get a palindrome (256787652).

The spelling of 126344031 in words is "one hundred twenty-six million, three hundred forty-four thousand, thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 37907 113721 416977 1250931 3828607 11485821 42114677 126344031