Search a number
-
+
201332213121 = 31325120567189
BaseRepresentation
bin1011101110000001010…
…1011100010110000001
3201020200012002010100010
42323200111130112001
511244312021304441
6232254000015133
720355125401164
oct2734025342601
9636605063303
10201332213121
1178425870686
12330299014a9
1315ca7325570
149a5cdc9adb
1553853c9116
hex2ee055c581

201332213121 has 16 divisors (see below), whose sum is σ = 290244185280. Its totient is φ = 123403128000.

The previous prime is 201332213101. The next prime is 201332213153. The reversal of 201332213121 is 121312233102.

It is not a de Polignac number, because 201332213121 - 218 = 201331950977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201332213101) 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 15 ways as a sum of consecutive naturals, for example, 10273806 + ... + 10293383.

It is an arithmetic number, because the mean of its divisors is an integer number (18140261580).

Almost surely, 2201332213121 is an apocalyptic number.

It is an amenable number.

201332213121 is a deficient number, since it is larger than the sum of its proper divisors (88911972159).

201332213121 is a wasteful number, since it uses less digits than its factorization.

201332213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20567456.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201332213121 its reverse (121312233102), we get a palindrome (322644446223).

The spelling of 201332213121 in words is "two hundred one billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 13 39 251 753 3263 9789 20567189 61701567 267373457 802120371 5162364439 15487093317 67110737707 201332213121