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212013331332 = 2231123718121803
BaseRepresentation
bin1100010101110011111…
…0101011001110000100
3202021020120111010222220
43011130332223032010
511433200403100312
6241221513252340
721213613403415
oct3053476531604
9667216433886
10212013331332
1181a06aa8900
123510aa040b0
1316cba17095a
14a3937ad80c
1557ace79c8c
hex315cfab384

212013331332 has 144 divisors (see below), whose sum is σ = 561566031936. Its totient is φ = 62161862400.

The previous prime is 212013331273. The next prime is 212013331333. The reversal of 212013331332 is 233133310212.

It is not an unprimeable number, because it can be changed into a prime (212013331333) 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, 9713143 + ... + 9734945.

Almost surely, 2212013331332 is an apocalyptic number.

212013331332 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 212013331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280783015968).

212013331332 is an abundant number, since it is smaller than the sum of its proper divisors (349552700604).

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

212013331332 is a wasteful number, since it uses less digits than its factorization.

212013331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22050 (or 22037 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 212013331332 its reverse (233133310212), we get a palindrome (445146641544).

It can be divided in two parts, 212013 and 331332, that added together give a palindrome (543345).

The spelling of 212013331332 in words is "two hundred twelve billion, thirteen million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 181 222 242 362 363 407 444 484 543 724 726 814 1086 1221 1452 1628 1991 2172 2442 3982 4477 4884 5973 6697 7964 8954 11946 13394 13431 17908 20091 21803 21901 23892 26788 26862 40182 43606 43802 53724 65409 65703 73667 80364 87212 87604 130818 131406 147334 221001 239833 261636 262812 294668 442002 479666 719499 806711 810337 884004 959332 1438998 1613422 1620674 2420133 2431011 2638163 2877996 3226844 3241348 3946343 4840266 4862022 5276326 7892686 7914489 8873821 9680532 9724044 10552652 11839029 15785372 15828978 17747642 23678058 26621463 31657956 35495284 43409773 47356116 53242926 86819546 97612031 106485852 130229319 146014691 173639092 195224062 260458638 292029382 292836093 390448124 438044073 477507503 520917276 584058764 585672186 876088146 955015006 1171344372 1432522509 1606161601 1752176292 1910030012 2865045018 3212323202 4818484803 5730090036 6424646404 9636969606 17667777611 19273939212 35335555222 53003332833 70671110444 106006665666 212013331332