Search a number
-
+
201212112010212 = 2232173134573067903
BaseRepresentation
bin101101110000000001011000…
…011101011111101111100100
3222101102200122001020001000200
4231300001120131133233210
5202333124401133311322
61551535322420310500
760245044465360632
oct5560013035375744
9871380561201020
10201212112010212
1159126639705a36
121a698309242430
1388372b3c98724
143798a0a9a6352
15183dec72738ac
hexb7005875fbe4

201212112010212 has 144 divisors (see below), whose sum is σ = 556071491469312. Its totient is φ = 61071375237120.

The previous prime is 201212112010207. The next prime is 201212112010213. The reversal of 201212112010212 is 212010211212102.

201212112010212 is a `hidden beast` number, since 20 + 1 + 21 + 211 + 201 + 0 + 212 = 666.

It is a super-2 number, since 2×2012121120102122 (a number of 29 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 (201212112010213) 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, 64052253 + ... + 67120155.

It is an arithmetic number, because the mean of its divisors is an integer number (3861607579648).

Almost surely, 2201212112010212 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 201212112010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278035745734656).

201212112010212 is an abundant number, since it is smaller than the sum of its proper divisors (354859379459100).

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

201212112010212 is a wasteful number, since it uses less digits than its factorization.

201212112010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071418 (or 3071413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201212112010212 its reverse (212010211212102), we get a palindrome (413222323222314).

The spelling of 201212112010212 in words is "two hundred one trillion, two hundred twelve billion, one hundred twelve million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 3457 4743 6324 6914 9486 10371 13828 18972 20742 31113 41484 58769 62226 107167 117538 124452 176307 214334 235076 321501 352614 428668 528921 643002 705228 964503 1057842 1286004 1821839 1929006 2115684 3067903 3643678 3858012 5465517 6135806 7287356 9203709 10931034 12271612 16396551 18407418 21862068 27611127 32793102 36814836 52154351 55222254 65586204 95104993 104308702 110444508 156463053 190209986 208617404 285314979 312926106 380419972 469389159 570629958 625852212 855944937 938778318 1141259916 1616784881 1711889874 1877556636 3233569762 3423779748 4850354643 6467139524 9700709286 10605740671 14551063929 19401418572 21211481342 29102127858 31817222013 42422962684 58204255716 63634444026 95451666039 127268888052 180297591407 190903332078 328777960801 360595182814 381806664156 540892774221 657555921602 721190365628 986333882403 1081785548442 1315111843204 1622678322663 1972667764806 2163571096884 2959001647209 3245356645326 3945335529612 5589225333617 5918003294418 6490713290652 11178450667234 11836006588836 16767676000851 22356901334468 33535352001702 50303028002553 67070704003404 100606056005106 201212112010212