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10120001993 is a prime number
BaseRepresentation
bin10010110110011001…
…01111100111001001
3222010021120100220122
421123030233213021
5131211210030433
64352110433025
7505532411663
oct113314574711
928107510818
1010120001993
114323528312
121b65202775
13c5381527a
146c007d533
153e36b4198
hex25b32f9c9

10120001993 has 2 divisors, whose sum is σ = 10120001994. Its totient is φ = 10120001992.

The previous prime is 10120001981. The next prime is 10120002007. The reversal of 10120001993 is 39910002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9989402809 + 130599184 = 99947^2 + 11428^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120001993 - 228 = 9851566537 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120001923) 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, 5060000996 + 5060000997.

It is an arithmetic number, because the mean of its divisors is an integer number (5060000997).

Almost surely, 210120001993 is an apocalyptic number.

It is an amenable number.

10120001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120001993 is an equidigital number, since it uses as much as digits as its factorization.

10120001993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 10120001993 in words is "ten billion, one hundred twenty million, one thousand, nine hundred ninety-three".