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1014304122 = 2321337311621
BaseRepresentation
bin111100011101010…
…000110101111010
32121200120222200100
4330131100311322
54034130212442
6244352020230
734064304606
oct7435206572
92550528610
101014304122
11480603777
12243831676
131321a7b70
14989d2506
155e0a984c
hex3c750d7a

1014304122 has 48 divisors (see below), whose sum is σ = 2373258888. Its totient is φ = 311230080.

The previous prime is 1014304111. The next prime is 1014304141. The reversal of 1014304122 is 2214034101.

It can be written as a sum of positive squares in 4 ways, for example, as 471367521 + 542936601 = 21711^2 + 23301^2 .

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 = 1014304095 and 1014304104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 81472 + ... + 93092.

Almost surely, 21014304122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014304122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186629444).

1014304122 is an abundant number, since it is smaller than the sum of its proper divisors (1358954766).

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

1014304122 is a wasteful number, since it uses less digits than its factorization.

1014304122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014304122 is about 31848.1415784344. The cubic root of 1014304122 is about 1004.7454854127.

Adding to 1014304122 its reverse (2214034101), we get a palindrome (3228338223).

The spelling of 1014304122 in words is "one billion, fourteen million, three hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 373 746 1119 2238 3357 4849 6714 9698 11621 14547 23242 29094 34863 43641 69726 87282 104589 151073 209178 302146 453219 906438 1359657 2719314 4334633 8669266 13003899 26007798 39011697 56350229 78023394 112700458 169050687 338101374 507152061 1014304122