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3130330122 = 2321729352753
BaseRepresentation
bin1011101010010101…
…0000110000001010
322002011021020122200
42322211100300022
522402331030442
61234341501030
7140400236613
oct27245206012
98064236580
103130330122
111366a98397
12734411776
133ab6b735a
14219a50c0a
15134c3a34c
hexba950c0a

3130330122 has 48 divisors (see below), whose sum is σ = 7428999240. Its totient is φ = 948197376.

The previous prime is 3130330117. The next prime is 3130330141. The reversal of 3130330122 is 2210330313.

3130330122 is a `hidden beast` number, since 313 + 0 + 330 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2365752321 + 764577801 = 48639^2 + 27651^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3130330095 and 3130330104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167503 + ... + 185250.

Almost surely, 23130330122 is an apocalyptic number.

3130330122 is an abundant number, since it is smaller than the sum of its proper divisors (4298669118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3130330122 is a wasteful number, since it uses less digits than its factorization.

3130330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352807 (or 352804 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3130330122 is about 55949.3531866098. The cubic root of 3130330122 is about 1462.8396167681.

Adding to 3130330122 its reverse (2210330313), we get a palindrome (5340660435).

It can be divided in two parts, 31303 and 30122, that added together give a triangular number (61425 = T350).

The spelling of 3130330122 in words is "three billion, one hundred thirty million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 352753 705506 1058259 2116518 3174777 5996801 6349554 10229837 11993602 17990403 20459674 30689511 35980806 53971209 61379022 92068533 107942418 173907229 184137066 347814458 521721687 1043443374 1565165061 3130330122