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21588101 is a prime number
BaseRepresentation
bin101001001011…
…0100010000101
31111121210022022
41102112202011
521011304401
62050412525
7351332033
oct122264205
944553268
1021588101
1111205507
127291145
13461b232
142c1d553
151d6671b
hex1496885

21588101 has 2 divisors, whose sum is σ = 21588102. Its totient is φ = 21588100.

The previous prime is 21588097. The next prime is 21588103. The reversal of 21588101 is 10188512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18931201 + 2656900 = 4351^2 + 1630^2 .

It is a cyclic number.

It is not a de Polignac number, because 21588101 - 22 = 21588097 is a prime.

It is a super-2 number, since 2×215881012 = 932092209572402, which contains 22 as substring.

Together with 21588103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21588103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10794050 + 10794051.

It is an arithmetic number, because the mean of its divisors is an integer number (10794051).

Almost surely, 221588101 is an apocalyptic number.

It is an amenable number.

21588101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21588101 is an equidigital number, since it uses as much as digits as its factorization.

21588101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 26.

The square root of 21588101 is about 4646.2997105223. The cubic root of 21588101 is about 278.4441814886. Note that the first 3 decimals are identical.

The spelling of 21588101 in words is "twenty-one million, five hundred eighty-eight thousand, one hundred one".