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3000013100 = 2252710142433
BaseRepresentation
bin1011001011010000…
…1001000100101100
321202002001110022022
42302310021010230
522121000404400
61213404405312
7134225455610
oct26264110454
97662043268
103000013100
1112aa47a277
126b8846838
1338a6ba4a6
1420660b340
15128597b85
hexb2d0912c

3000013100 has 72 divisors (see below), whose sum is σ = 7513873248. Its totient is φ = 1018368000.

The previous prime is 3000013087. The next prime is 3000013111. The reversal of 3000013100 is 13100003.

It is a super-2 number, since 2×30000131002 = 18000157200343220000, which contains 22 as substring.

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, 49484 + ... + 91916.

Almost surely, 23000013100 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 3000013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756936624).

3000013100 is an abundant number, since it is smaller than the sum of its proper divisors (4513860148).

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

3000013100 is a wasteful number, since it uses less digits than its factorization.

3000013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42555 (or 42548 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 3000013100 is about 54772.3753364778. The cubic root of 3000013100 is about 1442.2516695787.

Adding to 3000013100 its reverse (13100003), we get a palindrome (3013113103).

The spelling of 3000013100 in words is "three billion, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 42433 70700 84866 169732 212165 297031 424330 594062 848660 1060825 1188124 1485155 2121650 2970310 4243300 4285733 5940620 7425775 8571466 14851550 17142932 21428665 29703100 30000131 42857330 60000262 85714660 107143325 120000524 150000655 214286650 300001310 428573300 600002620 750003275 1500006550 3000013100