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10213121153 is a prime number
BaseRepresentation
bin10011000001011111…
…11101110010000001
3222100202210022101102
421200233331302001
5131404024334103
64405234344145
7511043045264
oct114057756201
928322708342
1010213121153
11437104a0a4
121b9042b055
13c69bb9b71
146cc59ccdb
153eb959e88
hex260bfdc81

10213121153 has 2 divisors, whose sum is σ = 10213121154. Its totient is φ = 10213121152.

The previous prime is 10213121119. The next prime is 10213121189. The reversal of 10213121153 is 35112131201.

10213121153 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 can be written as a sum of positive squares in only one way, i.e., 5923919089 + 4289202064 = 76967^2 + 65492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10213121153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10213121353) 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, 5106560576 + 5106560577.

It is an arithmetic number, because the mean of its divisors is an integer number (5106560577).

Almost surely, 210213121153 is an apocalyptic number.

It is an amenable number.

10213121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213121153 is an equidigital number, since it uses as much as digits as its factorization.

10213121153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10213121153 its reverse (35112131201), we get a palindrome (45325252354).

The spelling of 10213121153 in words is "ten billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred fifty-three".