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10131202993 is a prime number
BaseRepresentation
bin10010110111101110…
…11110001110110001
3222011001122102210111
421123313132032301
5131222041443433
64353150501321
7506026542652
oct113367361661
928131572714
1010131202993
11432988883a
121b68b04841
13c55c37692
146c1757529
153e4677dcd
hex25bdde3b1

10131202993 has 2 divisors, whose sum is σ = 10131202994. Its totient is φ = 10131202992.

The previous prime is 10131202987. The next prime is 10131203011. The reversal of 10131202993 is 39920213101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5653987249 + 4477215744 = 75193^2 + 66912^2 .

It is an emirp because it is prime and its reverse (39920213101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131202993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131202903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065601496 + 5065601497.

It is an arithmetic number, because the mean of its divisors is an integer number (5065601497).

Almost surely, 210131202993 is an apocalyptic number.

It is an amenable number.

10131202993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131202993 is an equidigital number, since it uses as much as digits as its factorization.

10131202993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 10131202993 in words is "ten billion, one hundred thirty-one million, two hundred two thousand, nine hundred ninety-three".