Search a number
-
+
102612401 is a prime number
BaseRepresentation
bin1100001110110…
…11110110110001
321011002020202022
412013123312301
5202232044101
614103201225
72354122343
oct607336661
9234066668
10102612401
1152a16241
122a446215
13183498c8
14d8b1293
15901da1b
hex61dbdb1

102612401 has 2 divisors, whose sum is σ = 102612402. Its totient is φ = 102612400.

The previous prime is 102612383. The next prime is 102612403. The reversal of 102612401 is 104216201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70576801 + 32035600 = 8401^2 + 5660^2 .

It is an emirp because it is prime and its reverse (104216201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102612401 - 214 = 102596017 is a prime.

Together with 102612403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102612401.

It is not a weakly prime, because it can be changed into another prime (102612403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51306200 + 51306201.

It is an arithmetic number, because the mean of its divisors is an integer number (51306201).

Almost surely, 2102612401 is an apocalyptic number.

It is an amenable number.

102612401 is a deficient number, since it is larger than the sum of its proper divisors (1).

102612401 is an equidigital number, since it uses as much as digits as its factorization.

102612401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 102612401 is about 10129.7779343873. Note that the first 3 decimals coincide. The cubic root of 102612401 is about 468.1660857057.

Adding to 102612401 its reverse (104216201), we get a palindrome (206828602).

The spelling of 102612401 in words is "one hundred two million, six hundred twelve thousand, four hundred one".