Search a number
-
+
201020332062 = 231153172333353
BaseRepresentation
bin1011101100110110111…
…1101101100000011110
3201012212110012220221210
42323031233231200132
511243142201111222
6232203015205250
720344320426024
oct2731557554036
9635773186853
10201020332062
1178285811840
1232b61376826
1315c57827964
149a2d802714
155367d1ed0c
hex2ecdbed81e

201020332062 has 64 divisors (see below), whose sum is σ = 447137853696. Its totient is φ = 59729429760.

The previous prime is 201020332061. The next prime is 201020332091. The reversal of 201020332062 is 260233020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020332061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6010378 + ... + 6043730.

It is an arithmetic number, because the mean of its divisors is an integer number (6986528964).

Almost surely, 2201020332062 is an apocalyptic number.

201020332062 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020332062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223568926848).

201020332062 is an abundant number, since it is smaller than the sum of its proper divisors (246117521634).

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

201020332062 is a wasteful number, since it uses less digits than its factorization.

201020332062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35145.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201020332062 its reverse (260233020102), we get a palindrome (461253352164).

The spelling of 201020332062 in words is "two hundred one billion, twenty million, three hundred thirty-two thousand, sixty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1723 1749 3446 3498 5169 10338 18953 33353 37906 56859 66706 91319 100059 113718 182638 200118 273957 366883 547914 733766 1004509 1100649 1767709 2009018 2201298 3013527 3535418 5303127 6027054 10606254 19444799 38889598 57467219 58334397 114934438 116668794 172401657 344803314 632139409 1264278818 1896418227 3045762607 3792836454 6091525214 9137287821 18274575642 33503388677 67006777354 100510166031 201020332062