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331213153 is a prime number
BaseRepresentation
bin10011101111011…
…110100101100001
3212002020101000211
4103233132211201
51134242310103
652511014121
711131160005
oct2357364541
9762211024
10331213153
1115aa63387
1292b0a341
135380901b
1431dba705
151e12736d
hex13bde961

331213153 has 2 divisors, whose sum is σ = 331213154. Its totient is φ = 331213152.

The previous prime is 331213151. The next prime is 331213163. The reversal of 331213153 is 351312133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243734544 + 87478609 = 15612^2 + 9353^2 .

It is a cyclic number.

It is not a de Polignac number, because 331213153 - 21 = 331213151 is a prime.

Together with 331213151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (331213151) 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, 165606576 + 165606577.

It is an arithmetic number, because the mean of its divisors is an integer number (165606577).

Almost surely, 2331213153 is an apocalyptic number.

It is an amenable number.

331213153 is a deficient number, since it is larger than the sum of its proper divisors (1).

331213153 is an equidigital number, since it uses as much as digits as its factorization.

331213153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 22.

The square root of 331213153 is about 18199.2624301096. The cubic root of 331213153 is about 691.8880955793. Note that the first 3 decimals are identical.

Adding to 331213153 its reverse (351312133), we get a palindrome (682525286).

The spelling of 331213153 in words is "three hundred thirty-one million, two hundred thirteen thousand, one hundred fifty-three".