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31011103033 is a prime number
BaseRepresentation
bin11100111000011001…
…111110000100111001
32222001012212020222121
4130320121332010321
51002002320244113
622125111321241
72145325012051
oct347031760471
988035766877
1031011103033
1112173a60779
126015680221
132c029bbc11
141702846561
15c1779ee8d
hex73867e139

31011103033 has 2 divisors, whose sum is σ = 31011103034. Its totient is φ = 31011103032.

The previous prime is 31011103009. The next prime is 31011103043. The reversal of 31011103033 is 33030111013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29975035689 + 1036067344 = 173133^2 + 32188^2 .

It is an emirp because it is prime and its reverse (33030111013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31011103033 is a prime.

It is a super-4 number, since 4×310111030334 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31011102998 and 31011103016.

It is not a weakly prime, because it can be changed into another prime (31011103043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15505551516 + 15505551517.

It is an arithmetic number, because the mean of its divisors is an integer number (15505551517).

Almost surely, 231011103033 is an apocalyptic number.

It is an amenable number.

31011103033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31011103033 is an equidigital number, since it uses as much as digits as its factorization.

31011103033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 31011103033 its reverse (33030111013), we get a palindrome (64041214046).

The spelling of 31011103033 in words is "thirty-one billion, eleven million, one hundred three thousand, thirty-three".