Search a number
-
+
1014102137 is a prime number
BaseRepresentation
bin111100011100011…
…111100001111001
32121200012201121102
4330130133201321
54034102232022
6244343421145
734062503666
oct7434374171
92550181542
101014102137
11480485a44
122437547b5
13132136c49
149897ca6d
155e069a92
hex3c71f879

1014102137 has 2 divisors, whose sum is σ = 1014102138. Its totient is φ = 1014102136.

The previous prime is 1014102121. The next prime is 1014102157. The reversal of 1014102137 is 7312014101.

It is a happy number.

It is an a-pointer prime, because the next prime (1014102157) can be obtained adding 1014102137 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 567582976 + 446519161 = 23824^2 + 21131^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014102137 - 24 = 1014102121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1014102157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507051068 + 507051069.

It is an arithmetic number, because the mean of its divisors is an integer number (507051069).

Almost surely, 21014102137 is an apocalyptic number.

It is an amenable number.

1014102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014102137 is an equidigital number, since it uses as much as digits as its factorization.

1014102137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1014102137 is about 31844.9703564001. The cubic root of 1014102137 is about 1004.6787871430.

Adding to 1014102137 its reverse (7312014101), we get a palindrome (8326116238).

The spelling of 1014102137 in words is "one billion, fourteen million, one hundred two thousand, one hundred thirty-seven".