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3013021242 = 2327112229863
BaseRepresentation
bin1011001110010111…
…0000111000111010
321202222112100010100
42303211300320322
522132313134432
61214551300230
7134444154330
oct26345607072
97688470110
103013021242
111306854500
1270107a676
133902c330a
14208235b50
151297b707c
hexb3970e3a

3013021242 has 144 divisors (see below), whose sum is σ = 8246085120. Its totient is φ = 778282560.

The previous prime is 3013021217. The next prime is 3013021301. The reversal of 3013021242 is 2421203103.

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

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 71 ways as a sum of consecutive naturals, for example, 3490903 + ... + 3491765.

It is an arithmetic number, because the mean of its divisors is an integer number (57264480).

Almost surely, 23013021242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013021242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123042560).

3013021242 is an abundant number, since it is smaller than the sum of its proper divisors (5233063878).

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

3013021242 is a wasteful number, since it uses less digits than its factorization.

3013021242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3013021242 is about 54890.9941793734. The cubic root of 3013021242 is about 1444.3332119951. Note that the first 3 decimals are identical.

Adding to 3013021242 its reverse (2421203103), we get a palindrome (5434224345).

The spelling of 3013021242 in words is "three billion, thirteen million, twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 229 231 242 363 458 462 687 693 726 847 863 1089 1374 1386 1603 1694 1726 2061 2178 2519 2541 2589 3206 4122 4809 5038 5082 5178 6041 7557 7623 7767 9493 9618 12082 14427 15114 15246 15534 17633 18123 18986 22671 27709 28479 28854 35266 36246 45342 52899 54369 55418 56958 66451 83127 85437 104423 105798 108738 132902 158697 166254 170874 193963 197627 199353 208846 249381 313269 317394 387926 395254 398706 498762 581889 592881 598059 626538 730961 939807 1163778 1185762 1196118 1383389 1461922 1745667 1778643 1879614 2173897 2192883 2766778 3491334 3557286 4150167 4347794 4385766 6521691 6578649 8300334 12450501 13043382 13157298 15217279 19565073 23912867 24901002 30434558 39130146 45651837 47825734 71738601 91303674 136955511 143477202 167390069 215215803 273911022 334780138 430431606 502170207 1004340414 1506510621 3013021242