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201033322032 = 243311634431871
BaseRepresentation
bin1011101100111010000…
…1010000111000110000
3201012220100122212211210
42323032201100320300
511243204012301112
6232204201440120
720344536020454
oct2731641207060
9635810585753
10201033322032
1178292084354
1232b657a0040
1315c5a42542a
149a31424664
155369038b3c
hex2ece850e30

201033322032 has 160 divisors (see below), whose sum is σ = 540884238336. Its totient is φ = 64271750400.

The previous prime is 201033322013. The next prime is 201033322033. The reversal of 201033322032 is 230223330102.

It is not an unprimeable number, because it can be changed into a prime (201033322033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107446057 + ... + 107447927.

Almost surely, 2201033322032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201033322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270442119168).

201033322032 is an abundant number, since it is smaller than the sum of its proper divisors (339850916304).

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

201033322032 is a wasteful number, since it uses less digits than its factorization.

201033322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 201033322032 its reverse (230223330102), we get a palindrome (431256652134).

The spelling of 201033322032 in words is "two hundred one billion, thirty-three million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 163 186 248 326 372 443 489 496 652 744 886 978 1304 1329 1488 1772 1871 1956 2608 2658 3544 3742 3912 5053 5316 5613 7088 7484 7824 10106 10632 11226 13733 14968 15159 20212 21264 22452 27466 29936 30318 40424 41199 44904 54932 58001 60636 72209 80848 82398 89808 109864 116002 121272 144418 164796 174003 216627 219728 232004 242544 288836 304973 329592 348006 433254 464008 577672 609946 659184 696012 828853 866508 914919 928016 1155344 1219892 1392024 1657706 1733016 1829838 2238479 2439784 2486559 2784048 3315412 3466032 3659676 4476958 4879568 4973118 6630824 6715437 7319352 8953916 9454163 9946236 13261648 13430874 14638704 17907832 18908326 19892472 25694443 26861748 28362489 35815664 37816652 39784944 51388886 53723496 56724978 75633304 77083329 102777772 107446992 113449956 135103039 151266608 154166658 205555544 226899912 270206078 308333316 405309117 411111088 453799824 540412156 616666632 810618234 1080824312 1233333264 1621236468 2161648624 3242472936 4188194209 6484945872 8376388418 12564582627 16752776836 25129165254 33505553672 50258330508 67011107344 100516661016 201033322032