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126314331 = 31113294439
BaseRepresentation
bin1111000011101…
…10011101011011
322210200102200120
413201312131123
5224314024311
620311204323
73062440233
oct741663533
9283612616
10126314331
1165334910
12363766a3
1320228010
1412ac0cc3
15b151706
hex787675b

126314331 has 16 divisors (see below), whose sum is σ = 197863680. Its totient is φ = 70665120.

The previous prime is 126314281. The next prime is 126314341. The reversal of 126314331 is 133413621.

It is a happy number.

It is not a de Polignac number, because 126314331 - 27 = 126314203 is a prime.

It is a super-2 number, since 2×1263143312 = 31910620431955122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126314341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146791 + ... + 147648.

It is an arithmetic number, because the mean of its divisors is an integer number (12366480).

Almost surely, 2126314331 is an apocalyptic number.

126314331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126314331 is a deficient number, since it is larger than the sum of its proper divisors (71549349).

126314331 is a wasteful number, since it uses less digits than its factorization.

126314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294466.

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

The square root of 126314331 is about 11238.9648544695. The cubic root of 126314331 is about 501.7463348614.

Adding to 126314331 its reverse (133413621), we get a palindrome (259727952).

The spelling of 126314331 in words is "one hundred twenty-six million, three hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 294439 883317 3238829 3827707 9716487 11483121 42104777 126314331