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31310031033 = 34386543593
BaseRepresentation
bin11101001010001110…
…010010100010111001
32222211001100101010000
4131022032102202321
51003110331443113
622214510343213
72155614605211
oct351216224271
988731311100
1031310031033
1112307772806
1260997bab09
132c4c902aa8
14173041b241
15c33b4b373
hex74a3928b9

31310031033 has 10 divisors (see below), whose sum is σ = 46771774874. Its totient is φ = 20873353968.

The previous prime is 31310030971. The next prime is 31310031037. The reversal of 31310031033 is 33013001313.

31310031033 is a `hidden beast` number, since 313 + 10 + 0 + 310 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26089679529 + 5220351504 = 161523^2 + 72252^2 .

It is not a de Polignac number, because 31310031033 - 210 = 31310030009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31310030997 and 31310031015.

It is not an unprimeable number, because it can be changed into a prime (31310031037) 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 9 ways as a sum of consecutive naturals, for example, 193271716 + ... + 193271877.

Almost surely, 231310031033 is an apocalyptic number.

It is an amenable number.

31310031033 is a deficient number, since it is larger than the sum of its proper divisors (15461743841).

31310031033 is an equidigital number, since it uses as much as digits as its factorization.

31310031033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386543605 (or 386543596 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 31310031033 its reverse (33013001313), we get a palindrome (64323032346).

The spelling of 31310031033 in words is "thirty-one billion, three hundred ten million, thirty-one thousand, thirty-three".

Divisors: 1 3 9 27 81 386543593 1159630779 3478892337 10436677011 31310031033