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201040000300 = 225231717011303
BaseRepresentation
bin1011101100111011101…
…0101111010100101100
3201012220211020011201001
42323032322233110230
511243212220002200
6232205000530044
720344646543566
oct2731672572454
9635824204631
10201040000300
1178295925887
1232b67a80924
1315c5b923079
149a32282336
15536990776a
hex2eceeaf52c

201040000300 has 144 divisors (see below), whose sum is σ = 457674706944. Its totient is φ = 76557600000.

The previous prime is 201040000297. The next prime is 201040000313. The reversal of 201040000300 is 3000040102.

Adding to 201040000300 its reverse (3000040102), we get a palindrome (204040040402).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 154289449 + ... + 154290751.

It is an arithmetic number, because the mean of its divisors is an integer number (3178296576).

Almost surely, 2201040000300 is an apocalyptic number.

201040000300 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 201040000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228837353472).

201040000300 is an abundant number, since it is smaller than the sum of its proper divisors (256634706644).

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

201040000300 is a wasteful number, since it uses less digits than its factorization.

201040000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The spelling of 201040000300 in words is "two hundred one billion, forty million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 50 62 71 100 124 142 155 284 310 355 620 701 710 775 1303 1402 1420 1550 1775 2201 2606 2804 3100 3505 3550 4402 5212 6515 7010 7100 8804 11005 13030 14020 17525 21731 22010 26060 32575 35050 40393 43462 44020 49771 55025 65150 70100 80786 86924 92513 99542 108655 110050 130300 161572 185026 199084 201965 217310 220100 248855 370052 403930 434620 462565 497710 543275 807860 913403 925130 995420 1009825 1086550 1244275 1542901 1826806 1850260 2019650 2173100 2312825 2488550 2867903 3085802 3653612 4039300 4567015 4625650 4977100 5735806 6171604 7714505 9134030 9251300 11471612 14339515 15429010 18268060 22835075 28315493 28679030 30858020 38572525 45670150 56630986 57358060 64851613 71697575 77145050 91340300 113261972 129703226 141577465 143395150 154290100 259406452 283154930 286790300 324258065 566309860 648516130 707887325 1297032260 1415774650 1621290325 2010400003 2831549300 3242580650 4020800006 6485161300 8041600012 10052000015 20104000030 40208000060 50260000075 100520000150 201040000300