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331311102029953 is a prime number
BaseRepresentation
bin100101101010100110110000…
…0100010111111000010000001
31121110002000212100102100120221
41023111031200202333002001
5321411200114104424303
63132350115154103041
7126533302651432153
oct11325154042770201
91543060770370527
10331311102029953
1196625281919131
12311aa38987aa81
13112b366ca3a596
145bb57859daad3
1528482670534bd
hex12d53608bf081

331311102029953 has 2 divisors, whose sum is σ = 331311102029954. Its totient is φ = 331311102029952.

The previous prime is 331311102029899. The next prime is 331311102030011. The reversal of 331311102029953 is 359920201113133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288425787508609 + 42885314521344 = 16983103^2 + 6548688^2 .

It is a cyclic number.

It is not a de Polignac number, because 331311102029953 - 213 = 331311102021761 is a prime.

It is not a weakly prime, because it can be changed into another prime (331311102027953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165655551014976 + 165655551014977.

It is an arithmetic number, because the mean of its divisors is an integer number (165655551014977).

Almost surely, 2331311102029953 is an apocalyptic number.

It is an amenable number.

331311102029953 is a deficient number, since it is larger than the sum of its proper divisors (1).

331311102029953 is an equidigital number, since it uses as much as digits as its factorization.

331311102029953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131220, while the sum is 43.

The spelling of 331311102029953 in words is "three hundred thirty-one trillion, three hundred eleven billion, one hundred two million, twenty-nine thousand, nine hundred fifty-three".