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126820331 = 1123948239
BaseRepresentation
bin1111000111100…
…01111111101011
322211122010210022
413203301333223
5224431222311
620330111055
73066645401
oct743617753
9284563708
10126820331
116564aaa0
123657b48b
1320374421
1412bb3471
15b2015db
hex78f1feb

126820331 has 8 divisors (see below), whose sum is σ = 138931200. Its totient is φ = 114806440.

The previous prime is 126820327. The next prime is 126820381. The reversal of 126820331 is 133028621.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126820331 - 22 = 126820327 is a prime.

It is a super-2 number, since 2×1268203312 = 32166792709899122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126820331.

It is not an unprimeable number, because it can be changed into a prime (126820381) 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 7 ways as a sum of consecutive naturals, for example, 21491 + ... + 26748.

It is an arithmetic number, because the mean of its divisors is an integer number (17366400).

Almost surely, 2126820331 is an apocalyptic number.

126820331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126820331 is the 6020-th centered heptagonal number.

126820331 is a deficient number, since it is larger than the sum of its proper divisors (12110869).

126820331 is a wasteful number, since it uses less digits than its factorization.

126820331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48489.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 126820331 is about 11261.4533253928. The cubic root of 126820331 is about 502.4154206961.

Adding to 126820331 its reverse (133028621), we get a palindrome (259848952).

The spelling of 126820331 in words is "one hundred twenty-six million, eight hundred twenty thousand, three hundred thirty-one".

Divisors: 1 11 239 2629 48239 530629 11529121 126820331