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10042531010093 is a prime number
BaseRepresentation
bin1001001000100011010101…
…1111100101011000101101
31022120001112020211102110102
42102020311133211120231
52304014100414310333
633205250340120445
72054356165100261
oct222106537453055
938501466742412
1010042531010093
113222016a4643a
121162387396125
1357b0116a6b9a
1426a0bd9000a1
15126368c2dae8
hex922357e562d

10042531010093 has 2 divisors, whose sum is σ = 10042531010094. Its totient is φ = 10042531010092.

The previous prime is 10042531010023. The next prime is 10042531010111. The reversal of 10042531010093 is 39001013524001.

10042531010093 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., 7287419028484 + 2755111981609 = 2699522^2 + 1659853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10042531010093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042531010023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021265505046 + 5021265505047.

It is an arithmetic number, because the mean of its divisors is an integer number (5021265505047).

Almost surely, 210042531010093 is an apocalyptic number.

It is an amenable number.

10042531010093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042531010093 is an equidigital number, since it uses as much as digits as its factorization.

10042531010093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 10042531010093 its reverse (39001013524001), we get a palindrome (49043544534094).

It can be divided in two parts, 10042 and 531010093, that added together give a palindrome (531020135).

The spelling of 10042531010093 in words is "ten trillion, forty-two billion, five hundred thirty-one million, ten thousand, ninety-three".