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10983531401 is a prime number
BaseRepresentation
bin10100011101010101…
…10110001110001001
31001100110110012120022
422032222312032021
5134443241001101
65013515110225
7536116322303
oct121652661611
931313405508
1010983531401
114726a0a787
122166442375
1310606ac70b
14762a24973
154443d9a1b
hex28eab6389

10983531401 has 2 divisors, whose sum is σ = 10983531402. Its totient is φ = 10983531400.

The previous prime is 10983531367. The next prime is 10983531407. The reversal of 10983531401 is 10413538901.

10983531401 is digitally balanced in base 2, 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., 10983040000 + 491401 = 104800^2 + 701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10983531401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10983531407) 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, 5491765700 + 5491765701.

It is an arithmetic number, because the mean of its divisors is an integer number (5491765701).

Almost surely, 210983531401 is an apocalyptic number.

It is an amenable number.

10983531401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10983531401 is an equidigital number, since it uses as much as digits as its factorization.

10983531401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 10983531401 in words is "ten billion, nine hundred eighty-three million, five hundred thirty-one thousand, four hundred one".