Search a number
-
+
13130314441442 = 21129533471119049
BaseRepresentation
bin1011111100010010001110…
…1110100110001011100010
31201111020122012010001110122
42333010203232212023202
53210111340444111232
643531552211200242
72523430301153552
oct277044356461342
951436565101418
1013130314441442
114202598217390
1215808ab8a6082
1374324ca46073
14335721183162
1517b839e0d312
hexbf123ba62e2

13130314441442 has 64 divisors (see below), whose sum is σ = 22711522608000. Its totient is φ = 5637495252480.

The previous prime is 13130314441399. The next prime is 13130314441459. The reversal of 13130314441442 is 24414441303131.

It is a super-2 number, since 2×131303144414422 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11173934 + ... + 12292982.

It is an arithmetic number, because the mean of its divisors is an integer number (354867540750).

Almost surely, 213130314441442 is an apocalyptic number.

13130314441442 is a deficient number, since it is larger than the sum of its proper divisors (9581208166558).

13130314441442 is a wasteful number, since it uses less digits than its factorization.

13130314441442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119491.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 13130314441442 its reverse (24414441303131), we get a palindrome (37544755744573).

The spelling of 13130314441442 in words is "thirteen trillion, one hundred thirty billion, three hundred fourteen million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 11 22 29 53 58 106 319 347 583 638 694 1166 1537 3074 3817 7634 10063 16907 18391 20126 33814 36782 110693 202301 221386 404602 533339 1066678 1119049 2238098 5866729 11733458 12309539 24619078 32452421 59309597 64904842 118619194 356976631 388310003 652405567 713953262 776620006 1304811134 1719978313 3439956626 4271410033 8542820066 11260990087 18919761443 20580430159 22521980174 37839522886 41160860318 123870890957 226384731749 247741781914 452769463498 596832474611 1193664949222 6565157220721 13130314441442