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331301241 = 3240139173
BaseRepresentation
bin10011101111110…
…100000101111001
3212002101211212100
4103233310011321
51134303114431
652512534013
711132004555
oct2357640571
9762354770
10331301241
11160013587
1292b51309
135383a14b
1432000865
151e1434e6
hex13bf4179

331301241 has 12 divisors (see below), whose sum is σ = 478717668. Its totient is φ = 220788384.

The previous prime is 331301239. The next prime is 331301263. The reversal of 331301241 is 142103133.

It can be written as a sum of positive squares in 2 ways, for example, as 124545600 + 206755641 = 11160^2 + 14379^2 .

It is not a de Polignac number, because 331301241 - 21 = 331301239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331301221) 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 in 11 ways as a sum of consecutive naturals, for example, 31531 + ... + 40703.

It is an arithmetic number, because the mean of its divisors is an integer number (39893139).

Almost surely, 2331301241 is an apocalyptic number.

It is an amenable number.

331301241 is a deficient number, since it is larger than the sum of its proper divisors (147416427).

331301241 is a wasteful number, since it uses less digits than its factorization.

331301241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192 (or 13189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331301241 is about 18201.6823672978. The cubic root of 331301241 is about 691.9494273187.

Adding to 331301241 its reverse (142103133), we get a palindrome (473404374).

The spelling of 331301241 in words is "three hundred thirty-one million, three hundred one thousand, two hundred forty-one".

Divisors: 1 3 9 4013 9173 12039 27519 36117 82557 36811249 110433747 331301241