Search a number
-
+
103636993 is a prime number
BaseRepresentation
bin1100010110101…
…10000000000001
321020000022020011
412023112000001
5203012340433
614141144521
72365620445
oct613260001
9236008204
10103636993
1153556009
122a85b141
1318618085
14da9a825
1591723cd
hex62d6001

103636993 has 2 divisors, whose sum is σ = 103636994. Its totient is φ = 103636992.

The previous prime is 103636979. The next prime is 103637033. The reversal of 103636993 is 399636301.

It is a happy number.

It is an a-pointer prime, because the next prime (103637033) can be obtained adding 103636993 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102272769 + 1364224 = 10113^2 + 1168^2 .

It is an emirp because it is prime and its reverse (399636301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103636993 - 213 = 103628801 is a prime.

It is a super-3 number, since 3×1036369933 (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103636903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51818496 + 51818497.

It is an arithmetic number, because the mean of its divisors is an integer number (51818497).

Almost surely, 2103636993 is an apocalyptic number.

It is an amenable number.

103636993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103636993 is an equidigital number, since it uses as much as digits as its factorization.

103636993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 40.

The square root of 103636993 is about 10180.2255868915. The cubic root of 103636993 is about 469.7191516633.

The spelling of 103636993 in words is "one hundred three million, six hundred thirty-six thousand, nine hundred ninety-three".