Search a number
-
+
13100031144 = 2332409661673
BaseRepresentation
bin11000011001101001…
…01001110010101000
31020210222000112101200
430030310221302220
5203312101444034
610003523044200
7642426266424
oct141464516250
936728015350
1013100031144
115612698322
122657210660
13130a026725
148c3b67b84
1551a110a99
hex30cd29ca8

13100031144 has 96 divisors (see below), whose sum is σ = 35672730600. Its totient is φ = 4342947840.

The previous prime is 13100031143. The next prime is 13100031163. The reversal of 13100031144 is 44113000131.

13100031144 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 311 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13016528100 + 83503044 = 114090^2 + 9138^2 .

It is a super-2 number, since 2×131000311442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13100031143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19464792 + ... + 19465464.

Almost surely, 213100031144 is an apocalyptic number.

It is an amenable number.

13100031144 is an abundant number, since it is smaller than the sum of its proper divisors (22572699456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13100031144 is a wasteful number, since it uses less digits than its factorization.

13100031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13100031144 its reverse (44113000131), we get a palindrome (57213031275).

The spelling of 13100031144 in words is "thirteen billion, one hundred million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409 661 673 818 1227 1322 1346 1636 1983 2019 2454 2644 2692 3272 3681 3966 4038 4908 5288 5384 5949 6057 7362 7932 8076 9816 11898 12114 14724 15864 16152 23796 24228 29448 47592 48456 270349 275257 444853 540698 550514 811047 825771 889706 1081396 1101028 1334559 1622094 1651542 1779412 2162792 2202056 2433141 2477313 2669118 3244188 3303084 3558824 4003677 4866282 4954626 5338236 6488376 6606168 8007354 9732564 9909252 10676472 16014708 19465128 19818504 32029416 181944877 363889754 545834631 727779508 1091669262 1455559016 1637503893 2183338524 3275007786 4366677048 6550015572 13100031144