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36362121 = 3411012927
BaseRepresentation
bin1000101010110…
…1011110001001
32112102101110020
42022231132021
533302041441
63335211053
7621034005
oct212553611
975371406
1036362121
1119586444
1210216a89
1376c1a63
144b87705
1532d3e66
hex22ad789

36362121 has 16 divisors (see below), whose sum is σ = 50174208. Its totient is φ = 23408000.

The previous prime is 36362111. The next prime is 36362141. The reversal of 36362121 is 12126363.

It is a happy number.

36362121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36362121 - 25 = 36362089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36362091 and 36362100.

It is not an unprimeable number, because it can be changed into a prime (36362111) 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 15 ways as a sum of consecutive naturals, for example, 10960 + ... + 13886.

It is an arithmetic number, because the mean of its divisors is an integer number (3135888).

Almost surely, 236362121 is an apocalyptic number.

It is an amenable number.

36362121 is a deficient number, since it is larger than the sum of its proper divisors (13812087).

36362121 is a wasteful number, since it uses less digits than its factorization.

36362121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072.

The product of its digits is 1296, while the sum is 24.

The square root of 36362121 is about 6030.1012429312. The cubic root of 36362121 is about 331.2961603644.

Adding to 36362121 its reverse (12126363), we get a palindrome (48488484).

The spelling of 36362121 in words is "thirty-six million, three hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 3 41 101 123 303 2927 4141 8781 12423 120007 295627 360021 886881 12120707 36362121