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331344101 = 1122738381
BaseRepresentation
bin10011101111111…
…110100011100101
3212002111000122202
4103233332203211
51134311002401
652513504245
711132243534
oct2357764345
9762430582
10331344101
11160042800
1292b72085
13538537ca
143201231b
151e15106b
hex13bfe8e5

331344101 has 6 divisors (see below), whose sum is σ = 364204806. Its totient is φ = 301221800.

The previous prime is 331344029. The next prime is 331344121. The reversal of 331344101 is 101443133.

It can be written as a sum of positive squares in only one way, i.e., 292581025 + 38763076 = 17105^2 + 6226^2 .

It is a de Polignac number, because none of the positive numbers 2k-331344101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331344121) 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 in 5 ways as a sum of consecutive naturals, for example, 1369070 + ... + 1369311.

It is an arithmetic number, because the mean of its divisors is an integer number (60700801).

Almost surely, 2331344101 is an apocalyptic number.

It is an amenable number.

331344101 is a deficient number, since it is larger than the sum of its proper divisors (32860705).

331344101 is a wasteful number, since it uses less digits than its factorization.

331344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738403 (or 2738392 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 331344101 is about 18202.8596929164. The cubic root of 331344101 is about 691.9792648904.

Adding to 331344101 its reverse (101443133), we get a palindrome (432787234).

The spelling of 331344101 in words is "three hundred thirty-one million, three hundred forty-four thousand, one hundred one".

Divisors: 1 11 121 2738381 30122191 331344101