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3131431205 = 571311514523
BaseRepresentation
bin1011101010100101…
…1101100100100101
322002020100012001112
42322221131210211
522403121244310
61234421234405
7140412504020
oct27251354445
98066305045
103131431205
11136767a681
12734862a05
133ab9b1596
14219c5a1b7
15134da6705
hexbaa5d925

3131431205 has 32 divisors (see below), whose sum is σ = 4356937728. Its totient is φ = 2116296000.

The previous prime is 3131431201. The next prime is 3131431207. The reversal of 3131431205 is 5021341313.

It is not a de Polignac number, because 3131431205 - 22 = 3131431201 is a prime.

It is a super-2 number, since 2×31314312052 = 19611722783295504050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131431201) 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 31 ways as a sum of consecutive naturals, for example, 690074 + ... + 694596.

It is an arithmetic number, because the mean of its divisors is an integer number (136154304).

Almost surely, 23131431205 is an apocalyptic number.

3131431205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3131431205 is a deficient number, since it is larger than the sum of its proper divisors (1225506523).

3131431205 is a wasteful number, since it uses less digits than its factorization.

3131431205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3131431205 is about 55959.1923190462. The cubic root of 3131431205 is about 1463.0111129526.

Adding to 3131431205 its reverse (5021341313), we get a palindrome (8152772518).

The spelling of 3131431205 in words is "three billion, one hundred thirty-one million, four hundred thirty-one thousand, two hundred five".

Divisors: 1 5 7 35 131 151 655 755 917 1057 4523 4585 5285 19781 22615 31661 98905 138467 158305 592513 682973 692335 2962565 3414865 4147591 4780811 20737955 23904055 89469463 447347315 626286241 3131431205