Search a number
-
+
13353040343106 = 2326792291092173
BaseRepresentation
bin1100001001001111111100…
…1110011111000001000010
31202021112112100012011022200
43002103333032133001002
53222234011311434411
644222145124214030
72545503534116622
oct302237716370102
952245470164280
1013353040343106
114288aa11848a2
1215b7aaa23a316
1375b2563c5019
1434240d5a2882
1518252359ce56
hexc24ff39f042

13353040343106 has 24 divisors (see below), whose sum is σ = 28931656494780. Its totient is φ = 4451002819296.

The previous prime is 13353040343077. The next prime is 13353040343117. The reversal of 13353040343106 is 60134304035331.

13353040343106 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 304 + 0 + 34 + 310 + 6 = 666.

13353040343106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12482859205881 + 870181137225 = 3533109^2 + 932835^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11680036 + ... + 12772208.

Almost surely, 213353040343106 is an apocalyptic number.

13353040343106 is an abundant number, since it is smaller than the sum of its proper divisors (15578616151674).

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

13353040343106 is a wasteful number, since it uses less digits than its factorization.

13353040343106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771410 (or 1771407 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 13353040343106 its reverse (60134304035331), we get a palindrome (73487344378437).

The spelling of 13353040343106 in words is "thirteen trillion, three hundred fifty-three billion, forty million, three hundred forty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 679229 1092173 1358458 2037687 2184346 3276519 4075374 6113061 6553038 9829557 12226122 19659114 741835574617 1483671149234 2225506723851 4451013447702 6676520171553 13353040343106