Search a number
-
+
102022127 is a prime number
BaseRepresentation
bin1100001010010…
…11101111101111
321002222021001022
412011023233233
5202104202002
614042404355
72346113414
oct605135757
9232867038
10102022127
1152652809
122a2006bb
13181a102c
14d79a10b
158e53ba2
hex614bbef

102022127 has 2 divisors, whose sum is σ = 102022128. Its totient is φ = 102022126.

The previous prime is 102022121. The next prime is 102022139. The reversal of 102022127 is 721220201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102022127 - 24 = 102022111 is a prime.

It is a super-3 number, since 3×1020221273 (a number of 25 digits) contains 333 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 (102022121) 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, 51011063 + 51011064.

It is an arithmetic number, because the mean of its divisors is an integer number (51011064).

Almost surely, 2102022127 is an apocalyptic number.

102022127 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022127 is an equidigital number, since it uses as much as digits as its factorization.

102022127 is an odious number, because the sum of its binary digits is odd.

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

The square root of 102022127 is about 10100.6003286933. The cubic root of 102022127 is about 467.2666562156.

Adding to 102022127 its reverse (721220201), we get a palindrome (823242328).

The spelling of 102022127 in words is "one hundred two million, twenty-two thousand, one hundred twenty-seven".