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3202101 = 327253137
BaseRepresentation
bin1100001101110000110101
320000200110100
430031300311
51304431401
6152344313
736134400
oct14156065
96020410
103202101
111897871
1210a5099
13881646
145d4d37
15433b86
hex30dc35

3202101 has 36 divisors (see below), whose sum is σ = 5521932. Its totient is φ = 1782144.

The previous prime is 3202099. The next prime is 3202117. The reversal of 3202101 is 1012023.

It is a happy number.

3202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2099601 + 1102500 = 1449^2 + 1050^2 .

It is not a de Polignac number, because 3202101 - 21 = 3202099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

3202101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202181) 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 35 ways as a sum of consecutive naturals, for example, 23305 + ... + 23441.

It is an arithmetic number, because the mean of its divisors is an integer number (153387).

Almost surely, 23202101 is an apocalyptic number.

It is an amenable number.

3202101 is a deficient number, since it is larger than the sum of its proper divisors (2319831).

3202101 is a wasteful number, since it uses less digits than its factorization.

3202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3202101 is about 1789.4415329929. The cubic root of 3202101 is about 147.3935035157.

Adding to 3202101 its reverse (1012023), we get a palindrome (4214124).

The spelling of 3202101 in words is "three million, two hundred two thousand, one hundred one".

Divisors: 1 3 7 9 21 49 53 63 137 147 159 371 411 441 477 959 1113 1233 2597 2877 3339 6713 7261 7791 8631 20139 21783 23373 50827 60417 65349 152481 355789 457443 1067367 3202101