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201141323300 = 225229792413643
BaseRepresentation
bin1011101101010011110…
…1010000011000100100
3201020011212212220201202
42323110331100120210
511243414134321200
6232223020342032
720350320016121
oct2732475203044
9636155786652
10201141323300
11783380402a5
1232b959a4918
1315c7690aac8
149a418d9748
15537376e1d5
hex2ed4f50624

201141323300 has 144 divisors (see below), whose sum is σ = 459266438400. Its totient is φ = 76359628800.

The previous prime is 201141323287. The next prime is 201141323309. The reversal of 201141323300 is 3323141102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201141323309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55211279 + ... + 55214921.

Almost surely, 2201141323300 is an apocalyptic number.

201141323300 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 201141323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229633219200).

201141323300 is an abundant number, since it is smaller than the sum of its proper divisors (258125115100).

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

201141323300 is a wasteful number, since it uses less digits than its factorization.

201141323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201141323300 its reverse (3323141102), we get a palindrome (204464464402).

The spelling of 201141323300 in words is "two hundred one billion, one hundred forty-one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 241 290 316 395 482 580 725 790 964 1205 1450 1580 1975 2291 2410 2900 3643 3950 4582 4820 6025 6989 7286 7900 9164 11455 12050 13978 14572 18215 19039 22910 24100 27956 34945 36430 38078 45820 57275 69890 72860 76156 91075 95195 105647 114550 139780 174725 182150 190390 211294 229100 287797 349450 364300 380780 422588 475975 528235 552131 575594 698900 877963 951950 1056470 1104262 1151188 1438985 1755926 1903900 2112940 2208524 2641175 2760655 2877970 3511852 4389815 5282350 5521310 5755940 7194925 8346113 8779630 10564700 11042620 13803275 14389850 16692226 17559260 21949075 25460927 27606550 28779700 33384452 41730565 43898150 50921854 55213100 69359077 83461130 87796300 101843708 127304635 138718154 166922260 208652825 254609270 277436308 346795385 417305650 509218540 636523175 693590770 834611300 1273046350 1387181540 1733976925 2011413233 2546092700 3467953850 4022826466 6935907700 8045652932 10057066165 20114132330 40228264660 50285330825 100570661650 201141323300