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31134013033 is a prime number
BaseRepresentation
bin11100111111101110…
…110101011001101001
32222100210010201210211
4130333232311121221
51002230301404113
622145221541121
72151346513204
oct347756653151
988323121724
1031134013033
111222737a892
12604a8747a1
132c222c4526
141714cbc93b
15c2347cb3d
hex73fbb5669

31134013033 has 2 divisors, whose sum is σ = 31134013034. Its totient is φ = 31134013032.

The previous prime is 31134013003. The next prime is 31134013037. The reversal of 31134013033 is 33031043113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26092587024 + 5041426009 = 161532^2 + 71003^2 .

It is a cyclic number.

It is not a de Polignac number, because 31134013033 - 29 = 31134012521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31134012995 and 31134013013.

It is not a weakly prime, because it can be changed into another prime (31134013037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15567006516 + 15567006517.

It is an arithmetic number, because the mean of its divisors is an integer number (15567006517).

Almost surely, 231134013033 is an apocalyptic number.

It is an amenable number.

31134013033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31134013033 is an equidigital number, since it uses as much as digits as its factorization.

31134013033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31134013033 its reverse (33031043113), we get a palindrome (64165056146).

The spelling of 31134013033 in words is "thirty-one billion, one hundred thirty-four million, thirteen thousand, thirty-three".