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10131021193 is a prime number
BaseRepresentation
bin10010110111101101…
…10001110110001001
3222011001022012102011
421123312301312021
5131222020134233
64353142535521
7506025154636
oct113366616611
928131265364
1010131021193
114329774197
121b68a375a1
13c55ba29c7
146c170b18d
153e463e0cd
hex25bdb1d89

10131021193 has 2 divisors, whose sum is σ = 10131021194. Its totient is φ = 10131021192.

The previous prime is 10131021151. The next prime is 10131021203. The reversal of 10131021193 is 39112013101.

10131021193 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7265346169 + 2865675024 = 85237^2 + 53532^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131021193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131001193) 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, 5065510596 + 5065510597.

It is an arithmetic number, because the mean of its divisors is an integer number (5065510597).

Almost surely, 210131021193 is an apocalyptic number.

It is an amenable number.

10131021193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131021193 is an equidigital number, since it uses as much as digits as its factorization.

10131021193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 10131021193 its reverse (39112013101), we get a palindrome (49243034294).

The spelling of 10131021193 in words is "ten billion, one hundred thirty-one million, twenty-one thousand, one hundred ninety-three".