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3001213413 = 3211157353547
BaseRepresentation
bin1011001011100010…
…1110000111100101
321202011022102211100
42302320232013211
522121302312123
61213450230313
7134241615222
oct26270560745
97664272740
103001213413
11130011a070
126b9125399
1338aa1a933
14206840949
15128733643
hexb2e2e1e5

3001213413 has 48 divisors (see below), whose sum is σ = 4781514816. Its totient is φ = 1798917120.

The previous prime is 3001213409. The next prime is 3001213429. The reversal of 3001213413 is 3143121003.

3001213413 is a `hidden beast` number, since 300 + 1 + 21 + 341 + 3 = 666.

It is not a de Polignac number, because 3001213413 - 22 = 3001213409 is a prime.

It is a super-2 number, since 2×30012134132 = 18014563900742217138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001213483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5486406 + ... + 5486952.

It is an arithmetic number, because the mean of its divisors is an integer number (99614892).

Almost surely, 23001213413 is an apocalyptic number.

3001213413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3001213413 is a deficient number, since it is larger than the sum of its proper divisors (1780301403).

3001213413 is a wasteful number, since it uses less digits than its factorization.

3001213413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1071 counting only the distinct ones).

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

The square root of 3001213413 is about 54783.3315252003. The cubic root of 3001213413 is about 1442.4439934722.

Adding to 3001213413 its reverse (3143121003), we get a palindrome (6144334416).

The spelling of 3001213413 in words is "three billion, one million, two hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 157 353 471 547 1059 1413 1641 1727 3177 3883 4923 5181 6017 11649 15543 18051 34947 54153 55421 85879 166263 193091 257637 498789 579273 609631 772911 944669 1737819 1828893 2124001 2834007 5486679 6372003 8502021 19116009 30315287 90945861 272837583 333468157 1000404471 3001213413