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10113033127 is a prime number
BaseRepresentation
bin10010110101100100…
…01010001110100111
3222002210110022102111
421122302022032213
5131202414030002
64351301221451
7505416235411
oct113262121647
928083408374
1010113033127
11431a5a851a
121b62a01887
13c52245292
146bd1879b1
153e2c893d7
hex25ac8a3a7

10113033127 has 2 divisors, whose sum is σ = 10113033128. Its totient is φ = 10113033126.

The previous prime is 10113033097. The next prime is 10113033181. The reversal of 10113033127 is 72133031101.

10113033127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10113033127 - 27 = 10113032999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10113033098 and 10113033107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113030127) 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, 5056516563 + 5056516564.

It is an arithmetic number, because the mean of its divisors is an integer number (5056516564).

Almost surely, 210113033127 is an apocalyptic number.

10113033127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113033127 is an equidigital number, since it uses as much as digits as its factorization.

10113033127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 10113033127 its reverse (72133031101), we get a palindrome (82246064228).

The spelling of 10113033127 in words is "ten billion, one hundred thirteen million, thirty-three thousand, one hundred twenty-seven".