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36214101 = 3371117419
BaseRepresentation
bin1000101000100…
…1010101010101
32112010212102000
42022021111111
533232322401
63332105513
7616546320
oct212112525
975125360
1036214101
1119495210
1210165299
13766c581
144b497b7
1532a5186
hex2289555

36214101 has 32 divisors (see below), whose sum is σ = 66892800. Its totient is φ = 18811440.

The previous prime is 36214099. The next prime is 36214109. The reversal of 36214101 is 10141263.

It is a happy number.

36214101 is a `hidden beast` number, since 3 + 621 + 41 + 0 + 1 = 666.

It is not a de Polignac number, because 36214101 - 21 = 36214099 is a prime.

It is a super-2 number, since 2×362141012 = 2622922222476402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36214109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6631 + ... + 10788.

It is an arithmetic number, because the mean of its divisors is an integer number (2090400).

Almost surely, 236214101 is an apocalyptic number.

It is an amenable number.

36214101 is a deficient number, since it is larger than the sum of its proper divisors (30678699).

36214101 is a wasteful number, since it uses less digits than its factorization.

36214101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17446 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36214101 is about 6017.8153012534. The cubic root of 36214101 is about 330.8460110716.

Adding to 36214101 its reverse (10141263), we get a palindrome (46355364).

It can be divided in two parts, 36214 and 101, that added together give a triangular number (36315 = T269).

The spelling of 36214101 in words is "thirty-six million, two hundred fourteen thousand, one hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 17419 52257 121933 156771 191609 365799 470313 574827 1097397 1341263 1724481 3292191 4023789 5173443 12071367 36214101