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126216141 = 3671135557
BaseRepresentation
bin1111000010111…
…10011111001101
322210111102222220
413201132133031
5224302404031
620305125553
73061551042
oct741363715
9283442886
10126216141
1165278067
12363298b9
13201c240c
1412a971c9
15b132596
hex785e7cd

126216141 has 16 divisors (see below), whose sum is σ = 172342464. Its totient is φ = 82139904.

The previous prime is 126216131. The next prime is 126216169. The reversal of 126216141 is 141612621.

It is a happy number.

It is not a de Polignac number, because 126216141 - 215 = 126183373 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126216121) 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, 19935 + ... + 25491.

It is an arithmetic number, because the mean of its divisors is an integer number (10771404).

Almost surely, 2126216141 is an apocalyptic number.

It is an amenable number.

126216141 is a deficient number, since it is larger than the sum of its proper divisors (46126323).

126216141 is a wasteful number, since it uses less digits than its factorization.

126216141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740.

The product of its digits is 576, while the sum is 24.

The square root of 126216141 is about 11234.5957203631. The cubic root of 126216141 is about 501.6162909109.

Adding to 126216141 its reverse (141612621), we get a palindrome (267828762).

The spelling of 126216141 in words is "one hundred twenty-six million, two hundred sixteen thousand, one hundred forty-one".

Divisors: 1 3 67 113 201 339 5557 7571 16671 22713 372319 627941 1116957 1883823 42072047 126216141