Search a number
-
+
201001000 = 23531971149
BaseRepresentation
bin10111111101100…
…00100000101000
3112000012220112111
423332300200220
5402424013000
631540052104
74660323514
oct1376604050
9460186474
10201001000
11a3507032
1257394034
1332847b05
141c9a3144
15129a5cba
hexbfb0828

201001000 has 128 divisors (see below), whose sum is σ = 505440000. Its totient is φ = 74592000.

The previous prime is 201000997. The next prime is 201001007. The reversal of 201001000 is 100102.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (201001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348926 + ... + 1349074.

It is an arithmetic number, because the mean of its divisors is an integer number (3948750).

Almost surely, 2201001000 is an apocalyptic number.

201001000 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 201001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252720000).

201001000 is an abundant number, since it is smaller than the sum of its proper divisors (304439000).

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

201001000 is a wasteful number, since it uses less digits than its factorization.

201001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 201001000 is about 14177.4821459948. The cubic root of 201001000 is about 585.7775717006. Note that the first 3 decimals are identical.

Adding to 201001000 its reverse (100102), we get a palindrome (201101102).

The spelling of 201001000 in words is "two hundred one million, one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 71 76 95 100 125 142 149 152 190 200 250 284 298 355 380 475 500 568 596 710 745 760 950 1000 1192 1349 1420 1490 1775 1900 2375 2698 2831 2840 2980 3550 3725 3800 4750 5396 5662 5960 6745 7100 7450 8875 9500 10579 10792 11324 13490 14155 14200 14900 17750 18625 19000 21158 22648 26980 28310 29800 33725 35500 37250 42316 52895 53960 56620 67450 70775 71000 74500 84632 105790 113240 134900 141550 149000 168625 201001 211580 264475 269800 283100 337250 353875 402002 423160 528950 566200 674500 707750 804004 1005005 1057900 1322375 1349000 1415500 1608008 2010010 2115800 2644750 2831000 4020020 5025025 5289500 8040040 10050050 10579000 20100100 25125125 40200200 50250250 100500500 201001000