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201351433284 = 22349722572
BaseRepresentation
bin1011101110000101111…
…0110000110001000100
3201020201112020121110000
42323201132300301010
511244331431331114
6232255524001300
720355450641511
oct2734136606104
9636645217400
10201351433284
11784356a9011
1233034230230
1315cab2c4a41
149a61790308
155386e23e09
hex2ee17b0c44

201351433284 has 135 divisors (see below), whose sum is σ = 533932409703. Its totient is φ = 66166751232.

The previous prime is 201351433279. The next prime is 201351433373. The reversal of 201351433284 is 482334153102.

The square root of 201351433284 is 448722.

It is a perfect power (a square), and thus also a powerful number.

201351433284 is a `hidden beast` number, since 20 + 1 + 351 + 4 + 3 + 3 + 284 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65986306884 + 135365126400 = 256878^2 + 367920^2 .

It is a super-2 number, since 2×2013514332842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 783468484 + ... + 783468740.

Almost surely, 2201351433284 is an apocalyptic number.

201351433284 is the 448722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201351433284

201351433284 is an abundant number, since it is smaller than the sum of its proper divisors (332580976419).

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

201351433284 is an frugal number, since it uses more digits than its factorization.

201351433284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 201351433284 by its sum of digits (36), we get a square (7248651598224 = 26923322).

201351433284 divided by its sum of digits (36) gives a square (5593095369 = 747872).

Adding to 201351433284 its reverse (482334153102), we get a palindrome (683685586386).

The spelling of 201351433284 in words is "two hundred one billion, three hundred fifty-one million, four hundred thirty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 257 291 324 388 514 582 771 873 1028 1164 1542 1746 2313 2619 3084 3492 4626 5238 6939 7857 9252 9409 10476 13878 15714 18818 20817 24929 27756 28227 31428 37636 41634 49858 56454 66049 74787 83268 84681 99716 112908 132098 149574 169362 198147 224361 254043 264196 299148 338724 396294 448722 508086 594441 673083 762129 792588 897444 1016172 1188882 1346166 1524258 1783323 2019249 2377764 2418113 2692332 3048516 3566646 4038498 4836226 5349969 6406753 7133292 7254339 8076996 9672452 10699938 12813506 14508678 19220259 21399876 21763017 25627012 29017356 38440518 43526034 57660777 65289051 76881036 87052068 115321554 130578102 172982331 195867153 230643108 261156204 345964662 391734306 518946993 621455041 691929324 783468612 1037893986 1242910082 1864365123 2075787972 2485820164 3728730246 5593095369 7457460492 11186190738 16779286107 22372381476 33558572214 50337858321 67117144428 100675716642 201351433284