Search a number
-
+
212020320132 = 223259718915797
BaseRepresentation
bin1100010101110101100…
…1010101011110000100
3202021021001122012211100
43011131121111132010
511433204200221012
6241222323140100
721214026662055
oct3053531253604
9667231565740
10212020320132
1181a0aa41675
1235111214630
1316cbb749a3a
14a3946ac72c
1557ad8aa8dc
hex315d655784

212020320132 has 144 divisors (see below), whose sum is σ = 558945878400. Its totient is φ = 67723138560.

The previous prime is 212020320121. The next prime is 212020320139. The reversal of 212020320132 is 231023020212.

212020320132 is a `hidden beast` number, since 212 + 0 + 2 + 0 + 320 + 132 = 666.

212020320132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120203201322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212020320139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13413658 + ... + 13429454.

It is an arithmetic number, because the mean of its divisors is an integer number (3881568600).

Almost surely, 2212020320132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279472939200).

212020320132 is an abundant number, since it is smaller than the sum of its proper divisors (346925558268).

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

212020320132 is a wasteful number, since it uses less digits than its factorization.

212020320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16026 (or 16021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212020320132 its reverse (231023020212), we get a palindrome (443043340344).

The spelling of 212020320132 in words is "two hundred twelve billion, twenty million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 71 89 118 142 177 178 213 236 267 284 354 356 426 531 534 639 708 801 852 1062 1068 1278 1602 2124 2556 3204 4189 5251 6319 8378 10502 12567 12638 15753 15797 16756 18957 21004 25134 25276 31506 31594 37701 37914 47259 47391 50268 56871 63012 63188 75402 75828 94518 94782 113742 142173 150804 189036 189564 227484 284346 372821 568692 745642 932023 1118463 1121587 1405933 1491284 1864046 2236926 2243174 2796069 2811866 3355389 3364761 3728092 4217799 4473852 4486348 5592138 5623732 6710778 6729522 8388207 8435598 10094283 11184276 12653397 13421556 13459044 16776414 16871196 20188566 25306794 33552828 40377132 50613588 66173633 82950047 99821243 132347266 165900094 198520899 199642486 248850141 264694532 299463729 331800188 397041798 399284972 497700282 595562697 598927458 746550423 794083596 898391187 995400564 1191125394 1197854916 1493100846 1796782374 2382250788 2986201692 3593564748 5889453337 11778906674 17668360011 23557813348 35336720022 53005080033 70673440044 106010160066 212020320132