Search a number
-
+
102124037 is a prime number
BaseRepresentation
bin1100001011001…
…00101000000101
321010011102211202
412011210220011
5202120432122
614044512245
72350016501
oct605445005
9233142752
10102124037
1152712334
122a24b685
1318208532
14d7c5301
158e73e92
hex6164a05

102124037 has 2 divisors, whose sum is σ = 102124038. Its totient is φ = 102124036.

The previous prime is 102123977. The next prime is 102124039. The reversal of 102124037 is 730421201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100620961 + 1503076 = 10031^2 + 1226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102124037 is a prime.

Together with 102124039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102124039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51062018 + 51062019.

It is an arithmetic number, because the mean of its divisors is an integer number (51062019).

Almost surely, 2102124037 is an apocalyptic number.

It is an amenable number.

102124037 is a deficient number, since it is larger than the sum of its proper divisors (1).

102124037 is an equidigital number, since it uses as much as digits as its factorization.

102124037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 102124037 is about 10105.6438191735. The cubic root of 102124037 is about 467.4221888094.

Adding to 102124037 its reverse (730421201), we get a palindrome (832545238).

The spelling of 102124037 in words is "one hundred two million, one hundred twenty-four thousand, thirty-seven".