Search a number
-
+
1010112033031 is a prime number
BaseRepresentation
bin11101011001011110101…
…11100111000100000111
310120120021102222221000221
432230233113213010013
5113022202140024111
62052012234245211
7132656342420623
oct16545727470407
93516242887027
101010112033031
1135a4279aaa92
12143924586807
137433a25083a
1436c65410183
151b41e3a4371
hexeb2f5e7107

1010112033031 has 2 divisors, whose sum is σ = 1010112033032. Its totient is φ = 1010112033030.

The previous prime is 1010112033019. The next prime is 1010112033043. The reversal of 1010112033031 is 1303302110101.

It is a balanced prime because it is at equal distance from previous prime (1010112033019) and next prime (1010112033043).

It is a cyclic number.

It is not a de Polignac number, because 1010112033031 - 27 = 1010112032903 is a prime.

It is a super-2 number, since 2×10101120330312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010112032996 and 1010112033014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010112033071) 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, 505056016515 + 505056016516.

It is an arithmetic number, because the mean of its divisors is an integer number (505056016516).

Almost surely, 21010112033031 is an apocalyptic number.

1010112033031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010112033031 is an equidigital number, since it uses as much as digits as its factorization.

1010112033031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1010112033031 its reverse (1303302110101), we get a palindrome (2313414143132).

The spelling of 1010112033031 in words is "one trillion, ten billion, one hundred twelve million, thirty-three thousand, thirty-one".