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13411452331002 = 23111921216346279
BaseRepresentation
bin1100001100101001100011…
…0110100010001111111010
31202111010022011122120222210
43003022120312202033322
53224213123244043002
644305045223555550
72552642201613465
oct303123066421772
952433264576883
1013411452331002
114300846228960
1216072902bbbb6
13763904b55a7b
143451911a22dc
15183ce16bd96c
hexc3298da23fa

13411452331002 has 96 divisors (see below), whose sum is σ = 30885684410880. Its totient is φ = 3849777966240.

The previous prime is 13411452330961. The next prime is 13411452331009. The reversal of 13411452331002 is 20013325411431.

13411452331002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13411452331009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289772499 + ... + 289818777.

It is an arithmetic number, because the mean of its divisors is an integer number (321725879280).

Almost surely, 213411452331002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13411452331002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442842205440).

13411452331002 is an abundant number, since it is smaller than the sum of its proper divisors (17474232079878).

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

13411452331002 is a wasteful number, since it uses less digits than its factorization.

13411452331002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58496 (or 58477 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13411452331002 its reverse (20013325411431), we get a palindrome (33424777742433).

The spelling of 13411452331002 in words is "thirteen trillion, four hundred eleven billion, four hundred fifty-two million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 627 722 1083 1254 2166 3971 7942 11913 12163 23826 24326 36489 46279 72978 92558 133793 138837 231097 267586 277674 401379 462194 509069 693291 802758 879301 1018138 1386582 1527207 1758602 2542067 2637903 3054414 4390843 5084134 5275806 7626201 8781686 9672311 13172529 15252402 16706719 19344622 26345058 29016933 33413438 48299273 50120157 58033866 96598546 100240314 144897819 183773909 289795638 367547818 551321727 562891477 1102643454 1125782954 1688674431 3377348862 6191806247 10694938063 12383612494 18575418741 21389876126 32084814189 37150837482 64169628378 117644318693 203203823197 235288637386 352932956079 406407646394 609611469591 705865912158 1219222939182 2235242055167 4470484110334 6705726165501 13411452331002