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130441311231 = 371110111349477
BaseRepresentation
bin111100101111011101…
…0000111001111111111
3110110200200100011211020
41321132322013033333
54114120433424411
6135531321555223
712265312565010
oct1713672071777
9413620304736
10130441311231
11503577a0860
1221344645b13
13c3ba44b73a
146455d45007
1535d6987606
hex1e5ee873ff

130441311231 has 64 divisors (see below), whose sum is σ = 220926790656. Its totient is φ = 66495744000.

The previous prime is 130441311199. The next prime is 130441311233. The reversal of 130441311231 is 132113144031.

It is a happy number.

It is not a de Polignac number, because 130441311231 - 25 = 130441311199 is a prime.

It is a super-2 number, since 2×1304413112312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130441311233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2611665 + ... + 2661141.

It is an arithmetic number, because the mean of its divisors is an integer number (3451981104).

Almost surely, 2130441311231 is an apocalyptic number.

130441311231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130441311231 is a deficient number, since it is larger than the sum of its proper divisors (90485479425).

130441311231 is a wasteful number, since it uses less digits than its factorization.

130441311231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49712.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130441311231 its reverse (132113144031), we get a palindrome (262554455262).

The spelling of 130441311231 in words is "one hundred thirty billion, four hundred forty-one million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 101 113 231 303 339 707 791 1111 1243 2121 2373 3333 3729 7777 8701 11413 23331 26103 34239 49477 79891 125543 148431 239673 346339 376629 544247 878801 1039017 1632741 2636403 3809729 4997177 5590901 11429187 14991531 16772703 34980239 39136307 54968947 61499911 104940717 117408921 164906841 184499733 384782629 430499377 564681001 1154347887 1291498131 1694043003 3952767007 6211491011 11858301021 18634473033 43480437077 130441311231