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3013013124 = 22321164311833
BaseRepresentation
bin1011001110010110…
…1110111010000100
321202222111220222200
42303211232322010
522132312404444
61214551154500
7134444121552
oct26345567204
97688456880
103013013124
1113068493a0
12701075a30
133902bc704
14208232bd2
151297b4969
hexb396ee84

3013013124 has 72 divisors (see below), whose sum is σ = 8322236832. Its totient is φ = 911537280.

The previous prime is 3013013117. The next prime is 3013013137. The reversal of 3013013124 is 4213103103.

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 = 3013013097 and 3013013106.

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, 248712 + ... + 260544.

Almost surely, 23013013124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013013124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161118416).

3013013124 is an abundant number, since it is smaller than the sum of its proper divisors (5309223708).

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

3013013124 is a wasteful number, since it uses less digits than its factorization.

3013013124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3013013124 is about 54890.9202327671. The cubic root of 3013013124 is about 1444.3319148356.

Adding to 3013013124 its reverse (4213103103), we get a palindrome (7226116227).

The spelling of 3013013124 in words is "three billion, thirteen million, thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 643 1286 1929 2572 3858 5787 7073 7716 11574 11833 14146 21219 23148 23666 28292 35499 42438 47332 63657 70998 84876 106497 127314 130163 141996 212994 254628 260326 390489 425988 520652 780978 1171467 1561956 2342934 4685868 7608619 15217238 22825857 30434476 45651714 68477571 83694809 91303428 136955142 167389618 251084427 273910284 334779236 502168854 753253281 1004337708 1506506562 3013013124