Search a number
-
+
201023300000 = 255517118249
BaseRepresentation
bin1011101100110111101…
…1000010000110100000
3201012212122210201012102
42323031323002012200
511243143431100000
6232203202545532
720344354566635
oct2731573020640
9635778721172
10201023300000
1178287459686
1232b623682a8
1315c58326833
149a2dd7618c
1553682093d5
hex2ecdec21a0

201023300000 has 144 divisors (see below), whose sum is σ = 523777023000. Its totient is φ = 75678720000.

The previous prime is 201023299951. The next prime is 201023300021. The reversal of 201023300000 is 3320102.

It can be written as a sum of positive squares in 12 ways, for example, as 94989705616 + 106033594384 = 308204^2 + 325628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640876 + ... + 1759124.

Almost surely, 2201023300000 is an apocalyptic number.

201023300000 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 201023300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261888511500).

201023300000 is an abundant number, since it is smaller than the sum of its proper divisors (322753723000).

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

201023300000 is an equidigital number, since it uses as much as digits as its factorization.

201023300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118301 (or 118273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 201023300000 its reverse (3320102), we get a palindrome (201026620102).

The spelling of 201023300000 in words is "two hundred one billion, twenty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 6250 6800 8500 10000 10625 12500 13600 17000 20000 21250 25000 34000 42500 50000 53125 68000 85000 100000 106250 118249 170000 212500 236498 340000 425000 472996 591245 850000 945992 1182490 1700000 1891984 2010233 2364980 2956225 3783968 4020466 4729960 5912450 8040932 9459920 10051165 11824900 14781125 16081864 18919840 20102330 23649800 29562250 32163728 40204660 47299600 50255825 59124500 64327456 73905625 80409320 94599200 100511650 118249000 147811250 160818640 201023300 236498000 251279125 295622500 321637280 369528125 402046600 472996000 502558250 591245000 739056250 804093200 1005116500 1182490000 1256395625 1478112500 1608186400 2010233000 2364980000 2512791250 2956225000 4020466000 5025582500 5912450000 6281978125 8040932000 10051165000 11824900000 12563956250 20102330000 25127912500 40204660000 50255825000 100511650000 201023300000