Search a number
-
+
102820037 is a prime number
BaseRepresentation
bin1100010000011…
…10100011000101
321011110210120112
412020032203011
5202310220122
614111442405
72355645605
oct610164305
9234423515
10102820037
1153048241
122a526405
13183c0278
14d926c05
1590602e2
hex620e8c5

102820037 has 2 divisors, whose sum is σ = 102820038. Its totient is φ = 102820036.

The previous prime is 102820033. The next prime is 102820043. The reversal of 102820037 is 730028201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98287396 + 4532641 = 9914^2 + 2129^2 .

It is a cyclic number.

It is not a de Polignac number, because 102820037 - 22 = 102820033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102819994 and 102820021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102820033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51410018 + 51410019.

It is an arithmetic number, because the mean of its divisors is an integer number (51410019).

Almost surely, 2102820037 is an apocalyptic number.

It is an amenable number.

102820037 is a deficient number, since it is larger than the sum of its proper divisors (1).

102820037 is an equidigital number, since it uses as much as digits as its factorization.

102820037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 102820037 is about 10140.0215483006. The cubic root of 102820037 is about 468.4816506836.

Adding to 102820037 its reverse (730028201), we get a palindrome (832848238).

The spelling of 102820037 in words is "one hundred two million, eight hundred twenty thousand, thirty-seven".