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38208101 is a prime number
BaseRepresentation
bin1001000111000…
…0001001100101
32122220011122212
42101300021211
534240124401
63442533205
7642522611
oct221601145
978804585
1038208101
111a627348
1210967205
137bba059
145108341
15354adbb
hex2470265

38208101 has 2 divisors, whose sum is σ = 38208102. Its totient is φ = 38208100.

The previous prime is 38208073. The next prime is 38208103. The reversal of 38208101 is 10180283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35988001 + 2220100 = 5999^2 + 1490^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38208101 is a prime.

Together with 38208103, 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 (38208103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19104050 + 19104051.

It is an arithmetic number, because the mean of its divisors is an integer number (19104051).

Almost surely, 238208101 is an apocalyptic number.

It is an amenable number.

38208101 is a deficient number, since it is larger than the sum of its proper divisors (1).

38208101 is an equidigital number, since it uses as much as digits as its factorization.

38208101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 38208101 is about 6181.2701769135. The cubic root of 38208101 is about 336.8101346948.

Adding to 38208101 its reverse (10180283), we get a palindrome (48388384).

The spelling of 38208101 in words is "thirty-eight million, two hundred eight thousand, one hundred one".