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132213101130301 = 2915436929533601
BaseRepresentation
bin11110000011111101000010…
…111011010111001000111101
3122100010110010100020012101111
4132003331002323113020331
5114312134412342132201
61145105505443442021
736564036620011642
oct3603750273271075
9570113110205344
10132213101130301
1139144296888324
12129b3950086311
1358a0846458519
142491210aa1dc9
151044275c76b51
hex783f42ed723d

132213101130301 has 8 divisors (see below), whose sum is σ = 136773064222200. Its totient is φ = 127653197414400.

The previous prime is 132213101130223. The next prime is 132213101130311. The reversal of 132213101130301 is 103031101312231.

It can be written as a sum of positive squares in 4 ways, for example, as 39346150567801 + 92866950562500 = 6272651^2 + 9636750^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132213101130301 - 233 = 132204511195709 is a prime.

It is a super-3 number, since 3×1322131011303013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213101130311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10290100 + ... + 19243501.

It is an arithmetic number, because the mean of its divisors is an integer number (17096633027775).

Almost surely, 2132213101130301 is an apocalyptic number.

It is an amenable number.

132213101130301 is a deficient number, since it is larger than the sum of its proper divisors (4559963091899).

132213101130301 is a wasteful number, since it uses less digits than its factorization.

132213101130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29687999.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 132213101130301 its reverse (103031101312231), we get a palindrome (235244202442532).

The spelling of 132213101130301 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred one million, one hundred thirty thousand, three hundred one".

Divisors: 1 29 154369 4476701 29533601 856474429 4559072452769 132213101130301