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1011132257 is a prime number
BaseRepresentation
bin111100010001001…
…010011101100001
32121110121211200212
4330101022131201
54032322213012
6244200023505
734025324312
oct7421123541
92543554625
101011132257
114798376a3
12242761b95
13131637215
1498408609
155db7eb22
hex3c44a761

1011132257 has 2 divisors, whose sum is σ = 1011132258. Its totient is φ = 1011132256.

The previous prime is 1011132191. The next prime is 1011132259. The reversal of 1011132257 is 7522311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 758671936 + 252460321 = 27544^2 + 15889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011132257 is a prime.

It is a super-2 number, since 2×10111322572 = 2044776882291828098, which contains 22 as substring.

Together with 1011132259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1011132259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505566128 + 505566129.

It is an arithmetic number, because the mean of its divisors is an integer number (505566129).

Almost surely, 21011132257 is an apocalyptic number.

It is an amenable number.

1011132257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011132257 is an equidigital number, since it uses as much as digits as its factorization.

1011132257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1011132257 is about 31798.3058825466. The cubic root of 1011132257 is about 1003.6970671834.

Adding to 1011132257 its reverse (7522311101), we get a palindrome (8533443358).

The spelling of 1011132257 in words is "one billion, eleven million, one hundred thirty-two thousand, two hundred fifty-seven".