Search a number
-
+
13331230213212 = 223537653567661
BaseRepresentation
bin1100000111111110101100…
…1111011100010001011100
31202012110020100120202200000
43001333223033130101130
53221404324413310322
644204141013334300
72544102212065242
oct301775317342134
952173210522600
1013331230213212
11427a819a0245a
1215b3822037390
1375918b9c1612
14341340b28792
15181b989773ac
hexc1feb3dc45c

13331230213212 has 144 divisors (see below), whose sum is σ = 35946001789152. Its totient is φ = 4317013428480.

The previous prime is 13331230213117. The next prime is 13331230213241. The reversal of 13331230213212 is 21231203213331.

13331230213212 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 230 + 213 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23200662 + ... + 23768322.

Almost surely, 213331230213212 is an apocalyptic number.

13331230213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331230213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17973000894576).

13331230213212 is an abundant number, since it is smaller than the sum of its proper divisors (22614771575940).

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

13331230213212 is a wasteful number, since it uses less digits than its factorization.

13331230213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568370 (or 568356 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13331230213212 its reverse (21231203213331), we get a palindrome (34562433426543).

The spelling of 13331230213212 in words is "thirteen trillion, three hundred thirty-one billion, two hundred thirty million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 653 666 972 999 1306 1332 1959 1998 2612 2997 3918 3996 5877 5994 7836 8991 11754 11988 17631 17982 23508 24161 35262 35964 48322 52893 70524 72483 96644 105786 144966 158679 211572 217449 289932 317358 434898 567661 634716 652347 869796 1135322 1304694 1702983 1957041 2270644 2609388 3405966 3914082 5108949 5871123 6811932 7828164 10217898 11742246 15326847 20435796 21003457 23484492 30653694 42006914 45980541 61307388 63010371 84013828 91961082 126020742 137941623 183922164 189031113 252041484 275883246 370682633 378062226 551766492 567093339 741365266 756124452 1112047899 1134186678 1482730532 1701280017 2224095798 2268373356 3336143697 3402560034 4448191596 5103840051 6672287394 6805120068 10008431091 10207680102 13344574788 13715257421 20016862182 20415360204 27430514842 30025293273 40033724364 41145772263 54861029684 60050586546 82291544526 90075879819 120101173092 123437316789 164583089052 180151759638 246874633578 360303519276 370311950367 493749267156 740623900734 1110935851101 1481247801468 2221871702202 3332807553303 4443743404404 6665615106606 13331230213212