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10221332153 is a prime number
BaseRepresentation
bin10011000010011110…
…10010011010111001
3222101100020110202112
421201033102122321
5131413130112103
64410130342105
7511202614124
oct114117223271
928340213675
1010221332153
11437574814a
121b9312a935
13c6b803346
146cd6d93bb
153ec52ccd8
hex2613d26b9

10221332153 has 2 divisors, whose sum is σ = 10221332154. Its totient is φ = 10221332152.

The previous prime is 10221332113. The next prime is 10221332167. The reversal of 10221332153 is 35123312201.

10221332153 is digitally balanced in base 2 and base 3, because in such bases 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., 9245207104 + 976125049 = 96152^2 + 31243^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221332153 - 222 = 10217137849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221332113) 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, 5110666076 + 5110666077.

It is an arithmetic number, because the mean of its divisors is an integer number (5110666077).

Almost surely, 210221332153 is an apocalyptic number.

It is an amenable number.

10221332153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221332153 is an equidigital number, since it uses as much as digits as its factorization.

10221332153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 10221332153 its reverse (35123312201), we get a palindrome (45344644354).

The spelling of 10221332153 in words is "ten billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred fifty-three".