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332001220213201 = 71117318181601819
BaseRepresentation
bin100101101111101000000111…
…0110010111011100111010001
31121112112000011212112110010211
41023133100032302323213101
5322004001444333310301
63134035131025524121
7126634203510260260
oct11337201662734721
91545460155473124
10332001220213201
1196870a21613620
12312a0088aa3641
1311333771b29076
145bdad327445d7
15285b1a87e5051
hex12df40ecbb9d1

332001220213201 has 32 divisors (see below), whose sum is σ = 452409854238720. Its totient is φ = 235630132358400.

The previous prime is 332001220213177. The next prime is 332001220213213. The reversal of 332001220213201 is 102312022100233.

It is a cyclic number.

It is not a de Polignac number, because 332001220213201 - 219 = 332001219688913 is a prime.

It is a super-2 number, since 2×3320012202132012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332001220213241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4090760331 + ... + 4090841488.

It is an arithmetic number, because the mean of its divisors is an integer number (14137807944960).

Almost surely, 2332001220213201 is an apocalyptic number.

332001220213201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

332001220213201 is a deficient number, since it is larger than the sum of its proper divisors (120408634025519).

332001220213201 is a wasteful number, since it uses less digits than its factorization.

332001220213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181601885.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 332001220213201 its reverse (102312022100233), we get a palindrome (434313242313434).

The spelling of 332001220213201 in words is "three hundred thirty-two trillion, one billion, two hundred twenty million, two hundred thirteen thousand, two hundred one".

Divisors: 1 7 11 17 31 77 119 187 217 341 527 1309 2387 3689 5797 40579 8181601819 57271212733 89997620009 139087230923 253629656389 629983340063 973610616461 1529959540153 1775407594723 2789926220279 4311704158613 10709716781071 19529483541953 30181929110291 47428745744743 332001220213201