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130441332302241 = 31049136130455123
BaseRepresentation
bin11101101010001010111101…
…010001101010000110100001
3122002212001212201121011100120
4131222022331101222012201
5114044122322032132431
61141231530520510453
736322034546321412
oct3552127521520641
9562761781534316
10130441332302241
1138620949538aa4
12127684a231b429
1357a2745cb08ac
14242d57385b809
1510131298ea196
hex76a2bd46a1a1

130441332302241 has 16 divisors (see below), whose sum is σ = 174215491329600. Its totient is φ = 86814152568320.

The previous prime is 130441332302221. The next prime is 130441332302293. The reversal of 130441332302241 is 142203233144031.

It is a cyclic number.

It is not a de Polignac number, because 130441332302241 - 221 = 130441330205089 is a prime.

It is a super-2 number, since 2×1304413323022412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130441332302221) 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, 10944495 + ... + 19510628.

It is an arithmetic number, because the mean of its divisors is an integer number (10888468208100).

Almost surely, 2130441332302241 is an apocalyptic number.

It is an amenable number.

130441332302241 is a deficient number, since it is larger than the sum of its proper divisors (43774159027359).

130441332302241 is a wasteful number, since it uses less digits than its factorization.

130441332302241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30457536.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 130441332302241 its reverse (142203233144031), we get a palindrome (272644565446272).

The spelling of 130441332302241 in words is "one hundred thirty trillion, four hundred forty-one billion, three hundred thirty-two million, three hundred two thousand, two hundred forty-one".

Divisors: 1 3 1049 1361 3147 4083 1427689 4283067 30455123 91365369 31947424027 41449422403 95842272081 124348267209 43480444100747 130441332302241