Search a number
-
+
13321333102194 = 23213212893397313
BaseRepresentation
bin1100000111011001110101…
…0100111101011001110010
31202011111200121102102200200
43001312131110331121302
53221224042233232234
644155422544100030
72543302024040205
oct301663524753162
952144617372620
1013321333102194
114276600282467
1215b191b604616
13758272419900
14340a8250993c
151817b9b3ed99
hexc1d9d53d672

13321333102194 has 72 divisors (see below), whose sum is σ = 31278152723220. Its totient is φ = 4095690633216.

The previous prime is 13321333102157. The next prime is 13321333102211. The reversal of 13321333102194 is 49120133312331.

13321333102194 is a `hidden beast` number, since 1 + 3 + 3 + 213 + 331 + 0 + 21 + 94 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6953215241025 + 6368117861169 = 2636895^2 + 2523513^2 .

It is a super-2 number, since 2×133213331021942 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2222482 + ... + 5619794.

Almost surely, 213321333102194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321333102194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639076361610).

13321333102194 is an abundant number, since it is smaller than the sum of its proper divisors (17956819621026).

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

13321333102194 is a wasteful number, since it uses less digits than its factorization.

13321333102194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398636 (or 3398620 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13321333102194 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-three million, one hundred two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1289 1521 2578 3042 3867 7734 11601 16757 23202 33514 50271 100542 150813 217841 301626 435682 653523 1307046 1960569 3397313 3921138 6794626 10191939 20383878 30575817 44165069 61151634 88330138 132495207 264990414 397485621 574145897 794971242 1148291794 1722437691 3444875382 4379136457 5167313073 8758272914 10334626146 13137409371 26274818742 39412228113 56928773941 78824456226 113857547882 170786321823 341572643646 512358965469 740074061233 1024717930938 1480148122466 2220222183699 4440444367398 6660666551097 13321333102194