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31800275093 is a prime number
BaseRepresentation
bin11101100111011100…
…011011000010010101
310001002012211100112102
4131213130123002111
51010111332300333
622335302131445
72204016610166
oct354734330225
9101065740472
1031800275093
1112539476394
1261b5a20b85
132cca350432
14177959376d
15c61bd8ae8
hex76771b095

31800275093 has 2 divisors, whose sum is σ = 31800275094. Its totient is φ = 31800275092.

The previous prime is 31800275077. The next prime is 31800275161. The reversal of 31800275093 is 39057200813.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29284450129 + 2515824964 = 171127^2 + 50158^2 .

It is a cyclic number.

It is not a de Polignac number, because 31800275093 - 24 = 31800275077 is a prime.

It is a super-3 number, since 3×318002750933 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31100275093) 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, 15900137546 + 15900137547.

It is an arithmetic number, because the mean of its divisors is an integer number (15900137547).

Almost surely, 231800275093 is an apocalyptic number.

It is an amenable number.

31800275093 is a deficient number, since it is larger than the sum of its proper divisors (1).

31800275093 is an equidigital number, since it uses as much as digits as its factorization.

31800275093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 31800275093 in words is "thirty-one billion, eight hundred million, two hundred seventy-five thousand, ninety-three".