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1010021993 is a prime number
BaseRepresentation
bin111100001100111…
…011011001101001
32121101112102200222
4330030323121221
54032031200433
6244120135425
734013021351
oct7414733151
92541472628
101010021993
11479149522
12242307575
13131338a66
14981d9b61
155da10b98
hex3c33b669

1010021993 has 2 divisors, whose sum is σ = 1010021994. Its totient is φ = 1010021992.

The previous prime is 1010021989. The next prime is 1010022019. The reversal of 1010021993 is 3991200101.

It is an a-pointer prime, because the next prime (1010022019) can be obtained adding 1010021993 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 676156009 + 333865984 = 26003^2 + 18272^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010021993 - 22 = 1010021989 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010021923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505010996 + 505010997.

It is an arithmetic number, because the mean of its divisors is an integer number (505010997).

Almost surely, 21010021993 is an apocalyptic number.

It is an amenable number.

1010021993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010021993 is an equidigital number, since it uses as much as digits as its factorization.

1010021993 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 square root of 1010021993 is about 31780.8431763539. The cubic root of 1010021993 is about 1003.3295660196.

The spelling of 1010021993 in words is "one billion, ten million, twenty-one thousand, nine hundred ninety-three".