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3131331021 = 337132355411
BaseRepresentation
bin1011101010100100…
…0101000111001101
322002020011002122000
42322221011013031
522403110043041
61234415142513
7140411605650
oct27251050715
98066132560
103131331021
111367611385
12734814a39
133ab977ac0
14219c31897
15134d86bb6
hexbaa451cd

3131331021 has 64 divisors (see below), whose sum is σ = 5957898240. Its totient is φ = 1579849920.

The previous prime is 3131331019. The next prime is 3131331059. The reversal of 3131331021 is 1201331313.

It is a happy number.

3131331021 is a `hidden beast` number, since 313 + 1 + 331 + 0 + 21 = 666.

3131331021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3131331021 - 21 = 3131331019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131330985 and 3131331003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131331221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28806 + ... + 84216.

It is an arithmetic number, because the mean of its divisors is an integer number (93092160).

Almost surely, 23131331021 is an apocalyptic number.

It is an amenable number.

3131331021 is a deficient number, since it is larger than the sum of its proper divisors (2826567219).

3131331021 is a wasteful number, since it uses less digits than its factorization.

3131331021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55463 (or 55457 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3131331021 is about 55958.2971595813. The cubic root of 3131331021 is about 1462.9955107292.

Adding to 3131331021 its reverse (1201331313), we get a palindrome (4332662334).

The spelling of 3131331021 in words is "three billion, one hundred thirty-one million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 91 117 161 189 207 273 299 351 483 621 819 897 1449 2093 2457 2691 4347 6279 8073 18837 55411 56511 166233 387877 498699 720343 1163631 1274453 1496097 2161029 3490893 3823359 5042401 6483087 8921171 10472679 11470077 15127203 16567889 19449261 26763513 34410231 45381609 49703667 80290539 115975223 136144827 149111001 240871617 347925669 447333003 1043777007 3131331021