Search a number
-
+
201005231040 = 26325174105499
BaseRepresentation
bin1011101100110011011…
…0000110101111000000
3201012211101210201020200
42323030312012233000
511243124314343130
6232201315405200
720344045162515
oct2731466065700
9635741721220
10201005231040
1178278238159
1232b582b3800
1315c5466b343
149a2b7d130c
15536683a760
hex2eccd86bc0

201005231040 has 168 divisors, whose sum is σ = 732043494000. Its totient is φ = 50448359424.

The previous prime is 201005231003. The next prime is 201005231047. The reversal of 201005231040 is 40132500102.

201005231040 is a `hidden beast` number, since 2 + 0 + 100 + 523 + 1 + 0 + 40 = 666.

201005231040 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201005231047) by changing a digit.

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, 2003790 + ... + 2101709.

It is an arithmetic number, because the mean of its divisors is an integer number (4357401750).

Almost surely, 2201005231040 is an apocalyptic number.

201005231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201005231040 is an abundant number, since it is smaller than the sum of its proper divisors (531038262960).

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

201005231040 is a wasteful number, since it uses less digits than its factorization.

201005231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105539 (or 4105526 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 201005231040 its reverse (40132500102), we get a palindrome (241137731142).

The spelling of 201005231040 in words is "two hundred one billion, five million, two hundred thirty-one thousand, forty".