Search a number
-
+
212403304212 = 223111012233677
BaseRepresentation
bin1100010111010000111…
…0010011011100010100
3202022020202021211012220
43011310032103130110
511440000221213322
6241324323542340
721226360203531
oct3056416233424
9668222254186
10212403304212
1182097145240
12351b952a9b0
131704cbb1238
14a3cd4c3d88
1557d230c55c
hex3174393714

212403304212 has 144 divisors (see below), whose sum is σ = 549222762816. Its totient is φ = 63360128000.

The previous prime is 212403304207. The next prime is 212403304231.

It is a happy number.

212403304212 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2124033042124 (a number of 46 digits) contains 4444 as substring.

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, 313741618 + ... + 313742294.

It is an arithmetic number, because the mean of its divisors is an integer number (3814046964).

Almost surely, 2212403304212 is an apocalyptic number.

212403304212 is a gapful number since it is divisible by the number (22) 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 212403304212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274611381408).

212403304212 is an abundant number, since it is smaller than the sum of its proper divisors (336819458604).

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

212403304212 is a wasteful number, since it uses less digits than its factorization.

212403304212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 212403 and 304212, that added together give a palindrome (516615).

The spelling of 212403304212 in words is "two hundred twelve billion, four hundred three million, three hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 233 303 404 466 606 677 699 932 1111 1212 1354 1398 2031 2222 2563 2708 2796 3333 4062 4444 5126 6666 7447 7689 8124 10201 10252 13332 14894 15378 20402 22341 23533 29788 30603 30756 40804 44682 47066 61206 68377 70599 89364 94132 112211 122412 136754 141198 157741 205131 224422 258863 273508 282396 315482 336633 410262 448844 473223 517726 630964 673266 752147 776589 820524 946446 1035452 1346532 1504294 1553178 1735151 1892892 2256441 2376833 3008588 3106356 3470302 4512882 4753666 5205453 6906077 6940604 7130499 9025764 9507332 10410906 13812154 14260998 15931841 20718231 20821812 26145163 27624308 28521996 31863682 41436462 47795523 52290326 63727364 75966847 78435489 82872924 95591046 104580652 151933694 156870978 175250251 191182092 227900541 303867388 313741956 350500502 455801082 525750753 701001004 911602164 1051501506 1609115941 2103003012 3218231882 4827347823 6436463764 9654695646 17700275351 19309391292 35400550702 53100826053 70801101404 106201652106 212403304212