Search a number
-
+
130244442031 = 11711011651151
BaseRepresentation
bin111100101001100101…
…1000111011110101111
3110110011221220012001101
41321103023013132233
54113220034121111
6135500010223531
712260402330224
oct1712313073657
9413157805041
10130244442031
1150266657040
12212aa724ba7
13c38871c4a2
146437b3994b
1535c454abc1
hex1e532c77af

130244442031 has 16 divisors (see below), whose sum is σ = 145512723456. Its totient is φ = 115580500000.

The previous prime is 130244442023. The next prime is 130244442037.

130244442031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 130244442031 - 23 = 130244442023 is a prime.

It is a super-2 number, since 2×1302444420312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130244442037) 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 in 15 ways as a sum of consecutive naturals, for example, 746695 + ... + 904456.

It is an arithmetic number, because the mean of its divisors is an integer number (9094545216).

Almost surely, 2130244442031 is an apocalyptic number.

130244442031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130244442031 is a deficient number, since it is larger than the sum of its proper divisors (15268281425).

130244442031 is a wasteful number, since it uses less digits than its factorization.

130244442031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651334.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 130244 and 442031, that added together give a palindrome (572275).

The spelling of 130244442031 in words is "one hundred thirty billion, two hundred forty-four million, four hundred forty-two thousand, thirty-one".

Divisors: 1 11 71 101 781 1111 7171 78881 1651151 18162661 117231721 166766251 1289548931 1834428761 11840403821 130244442031