Search a number
-
+
201000011022 = 232232412014553
BaseRepresentation
bin1011101100110010001…
…0001100010100001110
3201012211000222111201200
42323030202030110032
511243122000323042
6232201011450330
720343652622016
oct2731442142416
9635730874650
10201000011022
11782752a2298
1232b565b69a6
1315c53561385
149a2ac32c46
155366158c4c
hex2ecc88c50e

201000011022 has 48 divisors (see below), whose sum is σ = 456320655648. Its totient is φ = 63821007360.

The previous prime is 201000011021. The next prime is 201000011039. The reversal of 201000011022 is 220110000102.

201000011022 is digitally balanced in base 3, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000010995 and 201000011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907503 + ... + 1107050.

It is an arithmetic number, because the mean of its divisors is an integer number (9506680326).

Almost surely, 2201000011022 is an apocalyptic number.

201000011022 is an abundant number, since it is smaller than the sum of its proper divisors (255320644626).

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

201000011022 is a wasteful number, since it uses less digits than its factorization.

201000011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014825 (or 2014822 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000011022 its reverse (220110000102), we get a palindrome (421110011124).

The spelling of 201000011022 in words is "two hundred one billion, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 241 414 482 723 1446 2169 4338 5543 11086 16629 33258 49887 99774 2014553 4029106 6043659 12087318 18130977 36261954 46334719 92669438 139004157 278008314 417012471 485507273 834024942 971014546 1456521819 2913043638 4369565457 8739130914 11166667279 22333334558 33500001837 67000003674 100500005511 201000011022