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136212241 = 11210612
BaseRepresentation
bin10000001111001…
…10111100010001
3100111022022001211
420013212330101
5234332242431
621303300121
73242533144
oct1007467421
9314268054
10136212241
116a985300
123974a641
13222b2279
141413a05b
15be592b1
hex81e6f11

136212241 has 9 divisors (see below), whose sum is σ = 149862139. Its totient is φ = 123712600.

The previous prime is 136212239. The next prime is 136212253. The reversal of 136212241 is 142212631.

The square root of 136212241 is 11671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89699841 + 46512400 = 9471^2 + 6820^2 .

It is not a de Polignac number, because 136212241 - 21 = 136212239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136212641) 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 8 ways as a sum of consecutive naturals, for example, 127851 + ... + 128911.

Almost surely, 2136212241 is an apocalyptic number.

136212241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136212241 is the 11671-st square number.

136212241 is the 5836-th centered octagonal number.

It is an amenable number.

136212241 is a deficient number, since it is larger than the sum of its proper divisors (13649898).

136212241 is an frugal number, since it uses more digits than its factorization.

136212241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The cubic root of 136212241 is about 514.5236944715.

Multiplying 136212241 by its product of digits (576), we get a square (78458250816 = 2801042).

Adding to 136212241 its reverse (142212631), we get a palindrome (278424872).

The spelling of 136212241 in words is "one hundred thirty-six million, two hundred twelve thousand, two hundred forty-one".

Divisors: 1 11 121 1061 11671 128381 1125721 12382931 136212241