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201324908560 = 245171373533061
BaseRepresentation
bin1011101101111111100…
…1100101000000010000
3201020122200100000100211
42323133321211000100
511244303134033220
6232253135253504
720355006326116
oct2733771450020
9636580300324
10201324908560
1178421731656
123302737a294
1315ca5968839
149a5c047ab6
155384934b5a
hex2edfe65010

201324908560 has 160 divisors (see below), whose sum is σ = 500809990752. Its totient is φ = 75002019840.

The previous prime is 201324908549. The next prime is 201324908563. The reversal of 201324908560 is 65809423102.

201324908560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 247999504 + 201076909056 = 15748^2 + 448416^2 .

It is a super-2 number, since 2×2013249085602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (201324908563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65769430 + ... + 65772490.

Almost surely, 2201324908560 is an apocalyptic number.

201324908560 is a gapful number since it is divisible by the number (20) 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 201324908560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250404995376).

201324908560 is an abundant number, since it is smaller than the sum of its proper divisors (299485082192).

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

201324908560 is a wasteful number, since it uses less digits than its factorization.

201324908560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 201324908560 in words is "two hundred one billion, three hundred twenty-four million, nine hundred eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 137 170 272 274 340 353 548 680 685 706 1096 1360 1370 1412 1765 2192 2329 2740 2824 3061 3530 4658 5480 5648 6001 6122 7060 9316 10960 11645 12002 12244 14120 15305 18632 23290 24004 24488 28240 30005 30610 37264 46580 48008 48361 48976 52037 60010 61220 93160 96016 96722 104074 120020 122440 186320 193444 208148 240040 241805 244880 260185 386888 416296 419357 480080 483610 520370 773776 822137 832592 838714 967220 1040740 1080533 1644274 1677428 1934440 2081480 2096785 2161066 3288548 3354856 3868880 4110685 4162960 4193570 4322132 5402665 6577096 6709712 7129069 8221370 8387140 8644264 10805330 13154192 14258138 16442740 16774280 17288528 18369061 21610660 28516276 32885480 33548560 35645345 36738122 43221320 57032552 65770960 71290690 73476244 86442640 91845305 114065104 142581380 146952488 148033021 183690610 285162760 293904976 296066042 367381220 570325520 592132084 734762440 740165105 1184264168 1469524880 1480330210 2368528336 2516561357 2960660420 5033122714 5921320840 10066245428 11842641680 12582806785 20132490856 25165613570 40264981712 50331227140 100662454280 201324908560