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201332323000 = 23531378271777
BaseRepresentation
bin1011101110000001010…
…1110111001010111000
3201020200012021201001201
42323200111313022320
511244312033314000
6232254002223544
720355126336424
oct2734025671270
9636605251051
10201332323000
1178425936196
1233029954bb4
1315ca7363593
149a5d017b84
1553853eb96a
hex2ee05772b8

201332323000 has 128 divisors (see below), whose sum is σ = 475397657280. Its totient is φ = 79803494400.

The previous prime is 201332322857. The next prime is 201332323033. The reversal of 201332323000 is 323233102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113298112 + ... + 113299888.

Almost surely, 2201332323000 is an apocalyptic number.

201332323000 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 201332323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237698828640).

201332323000 is an abundant number, since it is smaller than the sum of its proper divisors (274065334280).

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

201332323000 is a wasteful number, since it uses less digits than its factorization.

201332323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 201332323000 its reverse (323233102), we get a palindrome (201655556102).

The spelling of 201332323000 in words is "two hundred one billion, three hundred thirty-two million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 827 1000 1096 1370 1654 1777 2740 3308 3425 3554 4135 5480 6616 6850 7108 8270 8885 13700 14216 16540 17125 17770 20675 27400 33080 34250 35540 41350 44425 68500 71080 82700 88850 103375 113299 137000 165400 177700 206750 222125 226598 243449 355400 413500 444250 453196 486898 566495 827000 888500 906392 973796 1132990 1217245 1469579 1777000 1947592 2265980 2434490 2832475 2939158 4531960 4868980 5664950 5878316 6086225 7347895 9737960 11329900 11756632 12172450 14162375 14695790 22659800 24344900 28324750 29391580 30431125 36739475 48689800 56649500 58783160 60862250 73478950 113299000 121724500 146957900 183697375 201332323 243449000 293915800 367394750 402664646 734789500 805329292 1006661615 1469579000 1610658584 2013323230 4026646460 5033308075 8053292920 10066616150 20133232300 25166540375 40266464600 50333080750 100666161500 201332323000