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31132131301 = 291614166509
BaseRepresentation
bin11100111111100111…
…101001111111100101
32222100122121010120001
4130333213221333211
51002224311200201
622145113341301
72151324515125
oct347747517745
988318533501
1031132131301
1112226305037
12604a107831
132c21ab5b8b
14171494cc85
15c2320a301
hex73f9e9fe5

31132131301 has 8 divisors (see below), whose sum is σ = 32208132600. Its totient is φ = 30056295360.

The previous prime is 31132131299. The next prime is 31132131319. The reversal of 31132131301 is 10313123113.

It can be written as a sum of positive squares in 4 ways, for example, as 8677108801 + 22455022500 = 93151^2 + 149850^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 31132131301 - 21 = 31132131299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132131361) 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, 434835 + ... + 501343.

It is an arithmetic number, because the mean of its divisors is an integer number (4026016575).

Almost surely, 231132131301 is an apocalyptic number.

It is an amenable number.

31132131301 is a deficient number, since it is larger than the sum of its proper divisors (1076001299).

31132131301 is a wasteful number, since it uses less digits than its factorization.

31132131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82679.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31132131301 its reverse (10313123113), we get a palindrome (41445254414).

The spelling of 31132131301 in words is "thirty-one billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 29 16141 66509 468089 1928761 1073521769 31132131301