Search a number
-
+
1012101257 is a prime number
BaseRepresentation
bin111100010100110…
…111000010001001
32121112110001220202
4330110313002021
54033044220012
6244232501545
734036501346
oct7424670211
92545401822
101012101257
1147a339722
12242b4a8b5
131318b62ab
14985bb7cd
155dcc1cc2
hex3c537089

1012101257 has 2 divisors, whose sum is σ = 1012101258. Its totient is φ = 1012101256.

The previous prime is 1012101179. The next prime is 1012101283. The reversal of 1012101257 is 7521012101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1011494416 + 606841 = 31804^2 + 779^2 .

It is an emirp because it is prime and its reverse (7521012101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012101257 - 212 = 1012097161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012101157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050628 + 506050629.

It is an arithmetic number, because the mean of its divisors is an integer number (506050629).

Almost surely, 21012101257 is an apocalyptic number.

It is an amenable number.

1012101257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012101257 is an equidigital number, since it uses as much as digits as its factorization.

1012101257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 1012101257 is about 31813.5388946279. The cubic root of 1012101257 is about 1004.0175896904.

Adding to 1012101257 its reverse (7521012101), we get a palindrome (8533113358).

The spelling of 1012101257 in words is "one billion, twelve million, one hundred one thousand, two hundred fifty-seven".