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212020132302 = 232113773396449
BaseRepresentation
bin1100010101110101100…
…0100111100111001110
3202021021001021200011200
43011131120213213032
511433204123213202
6241222315130330
721214025250336
oct3053530474716
9667231250150
10212020132302
1181a0a923540
12351111439a6
1316cbb6b23b4
14a3946600c6
1557ad86ee1c
hex315d6279ce

212020132302 has 96 divisors (see below), whose sum is σ = 521734543200. Its totient is φ = 61655592960.

The previous prime is 212020132301. The next prime is 212020132319. The reversal of 212020132302 is 203231020212.

212020132302 is a `hidden beast` number, since 212 + 0 + 20 + 132 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020132301) 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, 336574 + ... + 733022.

It is an arithmetic number, because the mean of its divisors is an integer number (5434734825).

Almost surely, 2212020132302 is an apocalyptic number.

212020132302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020132302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260867271600).

212020132302 is an abundant number, since it is smaller than the sum of its proper divisors (309714410898).

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

212020132302 is a wasteful number, since it uses less digits than its factorization.

212020132302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396578 (or 396575 counting only the distinct ones).

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

Adding to 212020132302 its reverse (203231020212), we get a palindrome (415251152514).

The spelling of 212020132302 in words is "two hundred twelve billion, twenty million, one hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 73 74 99 111 146 198 219 222 333 407 438 657 666 803 814 1221 1314 1606 2409 2442 2701 3663 4818 5402 7227 7326 8103 14454 16206 24309 29711 48618 59422 89133 178266 267399 396449 534798 792898 1189347 2378694 3568041 4360939 7136082 8721878 13082817 14668613 26165634 28940777 29337226 39248451 44005839 57881554 78496902 86822331 88011678 132017517 161354743 173644662 260466993 264035034 318348547 322709486 484064229 520933986 636697094 955045641 968128458 1070808749 1452192687 1910091282 2141617498 2865136923 2904385374 3212426247 5730273846 6424852494 9637278741 11778896239 19274557482 23557792478 35336688717 70673377434 106010066151 212020132302