Search a number
-
+
102340013 is a prime number
BaseRepresentation
bin1100001100110…
…01010110101101
321010120102002212
412012121112231
5202144340023
614053300205
72351606246
oct606312655
9233512085
10102340013
115284a626
122a334665
1318282929
14d83dccd
158eb7e78
hex61995ad

102340013 has 2 divisors, whose sum is σ = 102340014. Its totient is φ = 102340012.

The previous prime is 102340003. The next prime is 102340019. The reversal of 102340013 is 310043201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57957769 + 44382244 = 7613^2 + 6662^2 .

It is a cyclic number.

It is not a de Polignac number, because 102340013 - 210 = 102338989 is a prime.

It is a super-4 number, since 4×1023400134 (a number of 33 digits) contains 4444 as substring.

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 102340013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102340019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51170006 + 51170007.

It is an arithmetic number, because the mean of its divisors is an integer number (51170007).

Almost surely, 2102340013 is an apocalyptic number.

It is an amenable number.

102340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102340013 is an equidigital number, since it uses as much as digits as its factorization.

102340013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102340013 is about 10116.3240853583. The cubic root of 102340013 is about 467.7514645129.

Adding to 102340013 its reverse (310043201), we get a palindrome (412383214).

The spelling of 102340013 in words is "one hundred two million, three hundred forty thousand, thirteen".