Search a number
-
+
102130037 is a prime number
BaseRepresentation
bin1100001011001…
…10000101110101
321010011202001222
412011212011311
5202121130122
614045000125
72350043132
oct605460565
9233152058
10102130037
1152716899
122a253045
131820b199
14d7c7589
158e75b42
hex6166175

102130037 has 2 divisors, whose sum is σ = 102130038. Its totient is φ = 102130036.

The previous prime is 102129991. The next prime is 102130069. The reversal of 102130037 is 730031201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75359761 + 26770276 = 8681^2 + 5174^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102130037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102129997 and 102130024.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102130087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065018 + 51065019.

It is an arithmetic number, because the mean of its divisors is an integer number (51065019).

Almost surely, 2102130037 is an apocalyptic number.

It is an amenable number.

102130037 is a deficient number, since it is larger than the sum of its proper divisors (1).

102130037 is an equidigital number, since it uses as much as digits as its factorization.

102130037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 102130037 is about 10105.9406786306. The cubic root of 102130037 is about 467.4313426394.

Adding to 102130037 its reverse (730031201), we get a palindrome (832161238).

The spelling of 102130037 in words is "one hundred two million, one hundred thirty thousand, thirty-seven".