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126661131 = 334691153
BaseRepresentation
bin1111000110010…
…11001000001011
322211100001102000
413203023020023
5224411124011
620322442043
73065413302
oct743131013
9284301360
10126661131
1165551423
1236503323
1320319b1c
1412b71439
15b1be356
hex78cb20b

126661131 has 8 divisors (see below), whose sum is σ = 187646160. Its totient is φ = 84440736.

The previous prime is 126661121. The next prime is 126661147. The reversal of 126661131 is 131166621.

It is not a de Polignac number, because 126661131 - 211 = 126659083 is a prime.

It is a super-2 number, since 2×1266611312 = 32086084212398322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4691153 = 126661131 / (1 + 2 + 6 + 6 + 6 + 1 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 126661095 and 126661104.

It is not an unprimeable number, because it can be changed into a prime (126661111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2345550 + ... + 2345603.

It is an arithmetic number, because the mean of its divisors is an integer number (23455770).

Almost surely, 2126661131 is an apocalyptic number.

126661131 is a deficient number, since it is larger than the sum of its proper divisors (60985029).

126661131 is an equidigital number, since it uses as much as digits as its factorization.

126661131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691162 (or 4691156 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 126661131 is about 11254.3827462904. The cubic root of 126661131 is about 502.2051020866.

The spelling of 126661131 in words is "one hundred twenty-six million, six hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 4691153 14073459 42220377 126661131