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13321240401340 = 2251922278127961
BaseRepresentation
bin1100000111011001011111…
…0011010101010110111100
31202011111110010222202000201
43001312113303111112330
53221223400020320330
644155405433133244
72543266520065264
oct301662763252674
952144403882021
1013321240401340
114276562a16993
1215b18b455a224
13758259160531
14340a740987a4
151817b192ceca
hexc1d97cd55bc

13321240401340 has 72 divisors (see below), whose sum is σ = 29654511726672. Its totient is φ = 5025810274560.

The previous prime is 13321240401307. The next prime is 13321240401341. The reversal of 13321240401340 is 4310404212331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13321240401299 and 13321240401308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321240401341) 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, 2425041 + ... + 5702920.

It is an arithmetic number, because the mean of its divisors is an integer number (411868218426).

Almost surely, 213321240401340 is an apocalyptic number.

13321240401340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321240401340 is an abundant number, since it is smaller than the sum of its proper divisors (16333271325332).

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

13321240401340 is a wasteful number, since it uses less digits than its factorization.

13321240401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128235 (or 8128214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13321240401340 its reverse (4310404212331), we get a palindrome (17631644613671).

The spelling of 13321240401340 in words is "thirteen trillion, three hundred twenty-one billion, two hundred forty million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 361 380 454 722 908 1135 1444 1805 2270 3610 4313 4540 7220 8626 17252 21565 43130 81947 86260 163894 327788 409735 819470 1638940 8127961 16255922 32511844 40639805 81279610 154431259 162559220 308862518 617725036 772156295 1544312590 1845047147 2934193921 3088625180 3690094294 5868387842 7380188588 9225235735 11736775684 14670969605 18450471470 29341939210 35055895793 36900942940 58683878420 70111791586 140223583172 175279478965 350558957930 666062020067 701117915860 1332124040134 2664248080268 3330310100335 6660620200670 13321240401340