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202272101 is a prime number
BaseRepresentation
bin11000000111001…
…10110101100101
3112002121111011022
430003212311211
5403240201401
632023220525
75004166403
oct1403466545
9462544138
10202272101
11a41a5029
12578a7745
1332ba1545
141cc14473
1512b5771b
hexc0e6d65

202272101 has 2 divisors, whose sum is σ = 202272102. Its totient is φ = 202272100.

The previous prime is 202272073. The next prime is 202272127. The reversal of 202272101 is 101272202.

202272101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195972001 + 6300100 = 13999^2 + 2510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202272101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202272101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202272601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101136050 + 101136051.

It is an arithmetic number, because the mean of its divisors is an integer number (101136051).

Almost surely, 2202272101 is an apocalyptic number.

It is an amenable number.

202272101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202272101 is an equidigital number, since it uses as much as digits as its factorization.

202272101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 202272101 is about 14222.2396618817. The cubic root of 202272101 is about 587.0097685630.

The spelling of 202272101 in words is "two hundred two million, two hundred seventy-two thousand, one hundred one".