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3131073 = 321131627
BaseRepresentation
bin1011111100011011000001
312220002000200
423330123001
51300143243
6151035413
735420331
oct13743301
95802020
103131073
111849470
12106bb69
1385820a
145b70c1
1541cad3
hex2fc6c1

3131073 has 12 divisors (see below), whose sum is σ = 4933968. Its totient is φ = 1897560.

The previous prime is 3131057. The next prime is 3131087. The reversal of 3131073 is 3701313.

It is not a de Polignac number, because 3131073 - 24 = 3131057 is a prime.

It is a Curzon number.

3131073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3131053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15715 + ... + 15912.

It is an arithmetic number, because the mean of its divisors is an integer number (411164).

Almost surely, 23131073 is an apocalyptic number.

3131073 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3131073 is a deficient number, since it is larger than the sum of its proper divisors (1802895).

3131073 is a wasteful number, since it uses less digits than its factorization.

3131073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31644 (or 31641 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 3131073 is about 1769.4838230399. The cubic root of 3131073 is about 146.2955326121.

Adding to 3131073 its reverse (3701313), we get a palindrome (6832386).

The spelling of 3131073 in words is "three million, one hundred thirty-one thousand, seventy-three".

Divisors: 1 3 9 11 33 99 31627 94881 284643 347897 1043691 3131073