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201044320200 = 233252234856143
BaseRepresentation
bin1011101100111100101…
…1001101111111001000
3201012221010100122111100
42323033023031333020
511243214321221300
6232205233301400
720345031345213
oct2731713157710
9635833318440
10201044320200
1178298306449
1232b69404860
1315c5c7a6419
149a32a8877a
155369eac700
hex2ecf2cdfc8

201044320200 has 144 divisors (see below), whose sum is σ = 704529371520. Its totient is φ = 51280859520.

The previous prime is 201044320121. The next prime is 201044320231. The reversal of 201044320200 is 2023440102.

201044320200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 443 + 20 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2386672 + ... + 2469471.

It is an arithmetic number, because the mean of its divisors is an integer number (4892565080).

Almost surely, 2201044320200 is an apocalyptic number.

201044320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201044320200 is an abundant number, since it is smaller than the sum of its proper divisors (503485051320).

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

201044320200 is a wasteful number, since it uses less digits than its factorization.

201044320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856188 (or 4856176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201044320200 its reverse (2023440102), we get a palindrome (203067760302).

The spelling of 201044320200 in words is "two hundred one billion, forty-four million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 4856143 9712286 14568429 19424572 24280715 29136858 38849144 43705287 48561430 58273716 72842145 87410574 97122860 111691289 116547432 121403575 145684290 174821148 194245720 218526435 223382578 242807150 291368580 335073867 349642296 364210725 437052870 446765156 485614300 558456445 582737160 670147734 728421450 874105740 893530312 971228600 1005221601 1092632175 1116912890 1340295468 1456842900 1675369335 1748211480 2010443202 2185264350 2233825780 2680590936 2792282225 2913685800 3350738670 4020886404 4370528700 4467651560 5026108005 5584564450 6701477340 8041772808 8376846675 8741057400 10052216010 11169128900 13402954680 16753693350 20104432020 22338257800 25130540025 33507386700 40208864040 50261080050 67014773400 100522160100 201044320200