Search a number
-
+
102123017 is a prime number
BaseRepresentation
bin1100001011001…
…00011000001001
321010011101102222
412011210120021
5202120414032
614044503425
72350013513
oct605443011
9233141388
10102123017
1152711597
122a24ab75
1318207c29
14d7c4bb3
158e73a12
hex6164609

102123017 has 2 divisors, whose sum is σ = 102123018. Its totient is φ = 102123016.

The previous prime is 102123011. The next prime is 102123023. The reversal of 102123017 is 710321201.

It is a balanced prime because it is at equal distance from previous prime (102123011) and next prime (102123023).

It can be written as a sum of positive squares in only one way, i.e., 87254281 + 14868736 = 9341^2 + 3856^2 .

It is a cyclic number.

It is not a de Polignac number, because 102123017 - 24 = 102123001 is a prime.

It is a super-2 number, since 2×1021230172 = 20858221202364578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102122986 and 102123004.

It is not a weakly prime, because it can be changed into another prime (102123011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061508 + 51061509.

It is an arithmetic number, because the mean of its divisors is an integer number (51061509).

Almost surely, 2102123017 is an apocalyptic number.

It is an amenable number.

102123017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102123017 is an equidigital number, since it uses as much as digits as its factorization.

102123017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 102123017 is about 10105.5933521986. The cubic root of 102123017 is about 467.4206326226.

Adding to 102123017 its reverse (710321201), we get a palindrome (812444218).

The spelling of 102123017 in words is "one hundred two million, one hundred twenty-three thousand, seventeen".