Search a number
-
+
1010110221037 is a prime number
BaseRepresentation
bin11101011001011110100…
…00101100101011101101
310120120021022120212110001
432230233100230223231
5113022201204033122
62052012131344301
7132656321133061
oct16545720545355
93516238525401
101010110221037
1135a426982675
12143923a52091
1374339a67b58
1436c6509baa1
151b41e147527
hexeb2f42caed

1010110221037 has 2 divisors, whose sum is σ = 1010110221038. Its totient is φ = 1010110221036.

The previous prime is 1010110220983. The next prime is 1010110221073. The reversal of 1010110221037 is 7301220110101.

Together with next prime (1010110221073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 908931517641 + 101178703396 = 953379^2 + 318086^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110221037 - 27 = 1010110220909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010110228037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055110518 + 505055110519.

It is an arithmetic number, because the mean of its divisors is an integer number (505055110519).

Almost surely, 21010110221037 is an apocalyptic number.

It is an amenable number.

1010110221037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110221037 is an equidigital number, since it uses as much as digits as its factorization.

1010110221037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 1010110221037 its reverse (7301220110101), we get a palindrome (8311330331138).

The spelling of 1010110221037 in words is "one trillion, ten billion, one hundred ten million, two hundred twenty-one thousand, thirty-seven".