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13004313301104 = 2431319972074339
BaseRepresentation
bin1011110100111100110101…
…1110011001000001110000
31201001012101221201221001020
42331033031132121001300
53201030313201113404
643354033221335440
72511350002143306
oct275171536310160
951035357657036
1013004313301104
114164109922754
1215603a6267580
137343bc483ba8
1432d5aac12276
15178413196ed9
hexbd3cd799070

13004313301104 has 80 divisors (see below), whose sum is σ = 33884891525760. Its totient is φ = 4297364547840.

The previous prime is 13004313301103. The next prime is 13004313301117. The reversal of 13004313301104 is 40110331340031.

It is a super-2 number, since 2×130043133011042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004313301103) 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, 5231967 + ... + 7306305.

It is an arithmetic number, because the mean of its divisors is an integer number (423561144072).

Almost surely, 213004313301104 is an apocalyptic number.

It is an amenable number.

13004313301104 is an abundant number, since it is smaller than the sum of its proper divisors (20880578224656).

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

13004313301104 is a wasteful number, since it uses less digits than its factorization.

13004313301104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075478 (or 2075472 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13004313301104 its reverse (40110331340031), we get a palindrome (53114644641135).

The spelling of 13004313301104 in words is "thirteen trillion, four billion, three hundred thirteen million, three hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 997 1048 1572 1994 2096 2991 3144 3988 5982 6288 7976 11964 15952 23928 47856 130607 261214 391821 522428 783642 1044856 1567284 2074339 2089712 3134568 4148678 6223017 6269136 8297356 12446034 16594712 24892068 33189424 49784136 99568272 271738409 543476818 815215227 1086953636 1630430454 2068115983 2173907272 3260860908 4136231966 4347814544 6204347949 6521721816 8272463932 12408695898 13043443632 16544927864 24817391796 33089855728 49634783592 99269567184 270923193773 541846387546 812769581319 1083692775092 1625539162638 2167385550184 3251078325276 4334771100368 6502156650552 13004313301104