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93038631821 is a prime number
BaseRepresentation
bin101011010100110001…
…0001101101110001101
322220011000121012100122
41112221202031232031
53011020342204241
6110424044434325
76502404215312
oct1265142155615
9286130535318
1093038631821
1136503978163
12160465489a5
138a09511685
1447086bcd09
15264800204b
hex15a988db8d

93038631821 has 2 divisors, whose sum is σ = 93038631822. Its totient is φ = 93038631820.

The previous prime is 93038631683. The next prime is 93038631823. The reversal of 93038631821 is 12813683039.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75548569321 + 17490062500 = 274861^2 + 132250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93038631821 is a prime.

It is a super-2 number, since 2×930386318212 (a number of 23 digits) contains 22 as substring.

Together with 93038631823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93038631823) 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, 46519315910 + 46519315911.

It is an arithmetic number, because the mean of its divisors is an integer number (46519315911).

Almost surely, 293038631821 is an apocalyptic number.

It is an amenable number.

93038631821 is a deficient number, since it is larger than the sum of its proper divisors (1).

93038631821 is an equidigital number, since it uses as much as digits as its factorization.

93038631821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 93038631821 in words is "ninety-three billion, thirty-eight million, six hundred thirty-one thousand, eight hundred twenty-one".