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153311040221 is a prime number
BaseRepresentation
bin1000111011001000001…
…1001101001011011101
3112122201111202210011212
42032302003031023131
510002440111241341
6154232523354205
714035122224513
oct2166203151335
9478644683155
10153311040221
115a0230a3729
1225867682965
13115c3528961
1475c54024b3
153ec46135eb
hex23b20cd2dd

153311040221 has 2 divisors, whose sum is σ = 153311040222. Its totient is φ = 153311040220.

The previous prime is 153311040149. The next prime is 153311040251. The reversal of 153311040221 is 122040113351.

153311040221 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., 149807702500 + 3503337721 = 387050^2 + 59189^2 .

It is a cyclic number.

It is not a de Polignac number, because 153311040221 - 214 = 153311023837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153311040251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76655520110 + 76655520111.

It is an arithmetic number, because the mean of its divisors is an integer number (76655520111).

Almost surely, 2153311040221 is an apocalyptic number.

It is an amenable number.

153311040221 is a deficient number, since it is larger than the sum of its proper divisors (1).

153311040221 is an equidigital number, since it uses as much as digits as its factorization.

153311040221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 153311040221 its reverse (122040113351), we get a palindrome (275351153572).

The spelling of 153311040221 in words is "one hundred fifty-three billion, three hundred eleven million, forty thousand, two hundred twenty-one".