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331032031 = 112311311579
BaseRepresentation
bin10011101110110…
…010010111011111
3212001220011120121
4103232302113133
51134221011111
652503055411
711126503651
oct2356622737
9761804517
10331032031
1115a94a2a0
1292a41567
1353774755
1431d706d1
151e0dd871
hex13bb25df

331032031 has 16 divisors (see below), whose sum is σ = 380194560. Its totient is φ = 285281920.

The previous prime is 331032001. The next prime is 331032061. The reversal of 331032031 is 130230133.

It is an interprime number because it is at equal distance from previous prime (331032001) and next prime (331032061).

It is not a de Polignac number, because 331032031 - 217 = 330900959 is a prime.

It is a super-2 number, since 2×3310320312 = 219164411095969922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331031996 and 331032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331032001) 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 15 ways as a sum of consecutive naturals, for example, 22800 + ... + 34378.

It is an arithmetic number, because the mean of its divisors is an integer number (23762160).

Almost surely, 2331032031 is an apocalyptic number.

331032031 is a deficient number, since it is larger than the sum of its proper divisors (49162529).

331032031 is a wasteful number, since it uses less digits than its factorization.

331032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 331032031 is about 18194.2856688577. The cubic root of 331032031 is about 691.7619542468.

Adding to 331032031 its reverse (130230133), we get a palindrome (461262164).

The spelling of 331032031 in words is "three hundred thirty-one million, thirty-two thousand, thirty-one".

Divisors: 1 11 23 113 253 1243 2599 11579 28589 127369 266317 1308427 2929487 14392697 30093821 331032031