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216624101 is a prime number
BaseRepresentation
bin11001110100101…
…10101111100101
3120002121122101212
430322112233211
5420423432401
633255001205
75240163101
oct1472265745
9502548355
10216624101
11101307991
1260669205
1335b57c55
1420aac901
151403edbb
hexce96be5

216624101 has 2 divisors, whose sum is σ = 216624102. Its totient is φ = 216624100.

The previous prime is 216624059. The next prime is 216624127. The reversal of 216624101 is 101426612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175536001 + 41088100 = 13249^2 + 6410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-216624101 is a prime.

It is a super-2 number, since 2×2166241012 = 93852002268116402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (216624151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108312050 + 108312051.

It is an arithmetic number, because the mean of its divisors is an integer number (108312051).

Almost surely, 2216624101 is an apocalyptic number.

It is an amenable number.

216624101 is a deficient number, since it is larger than the sum of its proper divisors (1).

216624101 is an equidigital number, since it uses as much as digits as its factorization.

216624101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 216624101 is about 14718.1554890550. The cubic root of 216624101 is about 600.5773156292.

The spelling of 216624101 in words is "two hundred sixteen million, six hundred twenty-four thousand, one hundred one".