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31132020321 = 3217203477257
BaseRepresentation
bin11100111111100111…
…001110111001100001
32222100122101111022200
4130333213032321201
51002224244122241
622145111123413
72151323543433
oct347747167141
988318344280
1031132020321
1112226239716
12604a073569
132c21a774cc
141714920653
15c231d74b6
hex73f9cee61

31132020321 has 12 divisors (see below), whose sum is σ = 47613678372. Its totient is φ = 19533816576.

The previous prime is 31132020313. The next prime is 31132020349. The reversal of 31132020321 is 12302023113.

31132020321 is a `hidden beast` number, since 3 + 1 + 1 + 320 + 20 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24069971025 + 7062049296 = 155145^2 + 84036^2 .

It is not a de Polignac number, because 31132020321 - 23 = 31132020313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31132020294 and 31132020303.

It is not an unprimeable number, because it can be changed into a prime (31132020301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101738476 + ... + 101738781.

It is an arithmetic number, because the mean of its divisors is an integer number (3967806531).

Almost surely, 231132020321 is an apocalyptic number.

It is an amenable number.

31132020321 is a deficient number, since it is larger than the sum of its proper divisors (16481658051).

31132020321 is a wasteful number, since it uses less digits than its factorization.

31132020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203477280 (or 203477277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31132020321 its reverse (12302023113), we get a palindrome (43434043434).

The spelling of 31132020321 in words is "thirty-one billion, one hundred thirty-two million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 203477257 610431771 1831295313 3459113369 10377340107 31132020321