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200033013200 = 245216327111321
BaseRepresentation
bin1011101001001011100…
…1011000110111010000
3201010022122101221002112
42322102321120313100
511234131422410300
6231521025404452
720311001362256
oct2722271306720
9633278357075
10200033013200
117791946a539
1232926799728
1315b2b10a807
1499786365d6
15530b2e5e35
hex2e92e58dd0

200033013200 has 120 divisors (see below), whose sum is σ = 485354756736. Its totient is φ = 79221888000.

The previous prime is 200033013181. The next prime is 200033013203. The reversal of 200033013200 is 2310330002.

200033013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200033013203) 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 23 ways as a sum of consecutive naturals, for example, 17663540 + ... + 17674860.

Almost surely, 2200033013200 is an apocalyptic number.

200033013200 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 200033013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242677378368).

200033013200 is an abundant number, since it is smaller than the sum of its proper divisors (285321743536).

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

200033013200 is a wasteful number, since it uses less digits than its factorization.

200033013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 200033013200 its reverse (2310330002), we get a palindrome (202343343202).

The spelling of 200033013200 in words is "two hundred billion, thirty-three million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 200 271 326 400 542 652 815 1084 1304 1355 1630 2168 2608 2710 3260 4075 4336 5420 6520 6775 8150 10840 11321 13040 13550 16300 21680 22642 27100 32600 44173 45284 54200 56605 65200 88346 90568 108400 113210 176692 181136 220865 226420 283025 353384 441730 452840 566050 706768 883460 905680 1104325 1132100 1766920 1845323 2208650 2264200 3067991 3533840 3690646 4417300 4528400 6135982 7381292 8834600 9226615 12271964 14762584 15339955 17669200 18453230 24543928 29525168 30679910 36906460 46133075 49087856 61359820 73812920 76699775 92266150 122719640 147625840 153399550 184532300 245439280 306799100 369064600 500082533 613598200 738129200 1000165066 1227196400 2000330132 2500412665 4000660264 5000825330 8001320528 10001650660 12502063325 20003301320 25004126650 40006602640 50008253300 100016506600 200033013200