Search a number
-
+
201001220200 = 235211272933479
BaseRepresentation
bin1011101100110010011…
…0110011100001101000
3201012211010020221102001
42323030212303201220
511243122303021300
6232201053420344
720343666116224
oct2731446634150
9635733227361
10201001220200
1178275a48810
1232b56a9a6b4
1315c53895871
149a2b069784
1553662e716a
hex2ecc9b3868

201001220200 has 96 divisors (see below), whose sum is σ = 510014232000. Its totient is φ = 73062387200.

The previous prime is 201001220159. The next prime is 201001220221. The reversal of 201001220200 is 2022100102.

201001220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5987061 + ... + 6020539.

It is an arithmetic number, because the mean of its divisors is an integer number (5312648250).

Almost surely, 2201001220200 is an apocalyptic number.

201001220200 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 201001220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255007116000).

201001220200 is an abundant number, since it is smaller than the sum of its proper divisors (309013011800).

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

201001220200 is a wasteful number, since it uses less digits than its factorization.

201001220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36235 (or 36226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201001220200 its reverse (2022100102), we get a palindrome (203023320302).

It can be divided in two parts, 201001 and 220200, that added together give a square (421201 = 6492).

The spelling of 201001220200 in words is "two hundred one billion, one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2729 5458 10916 13645 21832 27290 30019 33479 54580 60038 66958 68225 109160 120076 133916 136450 150095 167395 240152 267832 272900 300190 334790 368269 545800 600380 669580 736538 750475 836975 1200760 1339160 1473076 1500950 1673950 1841345 2946152 3001900 3347900 3682690 6003800 6695800 7365380 9206725 14730760 18413450 36826900 73653800 91364191 182728382 365456764 456820955 730913528 913641910 1005006101 1827283820 2010012202 2284104775 3654567640 4020024404 4568209550 5025030505 8040048808 9136419100 10050061010 18272838200 20100122020 25125152525 40200244040 50250305050 100500610100 201001220200