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2153106413 is a prime number
BaseRepresentation
bin1000000001010101…
…1100101111101101
312120001110010201222
42000111130233231
513402143401123
6553352313125
7104233050113
oct20025345755
95501403658
102153106413
11a05410797
125010a27a5
132840c3183
14165d51ab3
15c90576c8
hex8055cbed

2153106413 has 2 divisors, whose sum is σ = 2153106414. Its totient is φ = 2153106412.

The previous prime is 2153106379. The next prime is 2153106427. The reversal of 2153106413 is 3146013512.

2153106413 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., 2118024484 + 35081929 = 46022^2 + 5923^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153106413 - 224 = 2136329197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2153106443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076553206 + 1076553207.

It is an arithmetic number, because the mean of its divisors is an integer number (1076553207).

Almost surely, 22153106413 is an apocalyptic number.

It is an amenable number.

2153106413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153106413 is an equidigital number, since it uses as much as digits as its factorization.

2153106413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2153106413 is about 46401.5776994705. The cubic root of 2153106413 is about 1291.2841833946.

Adding to 2153106413 its reverse (3146013512), we get a palindrome (5299119925).

The spelling of 2153106413 in words is "two billion, one hundred fifty-three million, one hundred six thousand, four hundred thirteen".