Search a number
-
+
10388373683833 is a prime number
BaseRepresentation
bin1001011100101011101101…
…0100101011111001111001
31100210010012121211120022201
42113022323110223321321
52330200342130340313
634032204124550201
72121351404236645
oct227127324537171
940703177746281
1010388373683833
113345759135a62
1211b94053b2361
135a4808b8b332
1427cb2b187c25
1513035acd20dd
hex972bb52be79

10388373683833 has 2 divisors, whose sum is σ = 10388373683834. Its totient is φ = 10388373683832.

The previous prime is 10388373683813. The next prime is 10388373683837. The reversal of 10388373683833 is 33838637388301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6679371464704 + 3709002219129 = 2584448^2 + 1925877^2 .

It is a cyclic number.

It is not a de Polignac number, because 10388373683833 - 29 = 10388373683321 is a prime.

It is not a weakly prime, because it can be changed into another prime (10388373683837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5194186841916 + 5194186841917.

It is an arithmetic number, because the mean of its divisors is an integer number (5194186841917).

Almost surely, 210388373683833 is an apocalyptic number.

It is an amenable number.

10388373683833 is a deficient number, since it is larger than the sum of its proper divisors (1).

10388373683833 is an equidigital number, since it uses as much as digits as its factorization.

10388373683833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 10388373683833 in words is "ten trillion, three hundred eighty-eight billion, three hundred seventy-three million, six hundred eighty-three thousand, eight hundred thirty-three".