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106277131 = 713494289
BaseRepresentation
bin1100101010110…
…10100100001011
321101222102211001
412111122210023
5204201332011
614313515431
72430224602
oct625324413
9241872731
10106277131
1154a99644
122b712b77
131903099c
1410186a39
1594e47c1
hex655a90b

106277131 has 8 divisors (see below), whose sum is σ = 108108000. Its totient is φ = 104455680.

The previous prime is 106277111. The next prime is 106277147. The reversal of 106277131 is 131772601.

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 106277131 - 211 = 106275083 is a prime.

It is a super-2 number, since 2×1062771312 = 22589657147182322, 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 106277131.

It is not an unprimeable number, because it can be changed into a prime (106277111) 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, 22635 + ... + 26923.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2106277131 is an apocalyptic number.

106277131 is a deficient number, since it is larger than the sum of its proper divisors (1830869).

106277131 is an equidigital number, since it uses as much as digits as its factorization.

106277131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 106277131 is about 10309.0800268501. The cubic root of 106277131 is about 473.6744294123.

The spelling of 106277131 in words is "one hundred six million, two hundred seventy-seven thousand, one hundred thirty-one".

Divisors: 1 71 349 4289 24779 304519 1496861 106277131