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3004103112 = 2333137611789
BaseRepresentation
bin1011001100001110…
…1111100111001000
321202100202020202020
42303003233213020
522123022244422
61214032204440
7134305312053
oct26303574710
97670666666
103004103112
11130181314a
126ba099720
1338b4c000a
14206d93a9a
15128b0495c
hexb30ef9c8

3004103112 has 128 divisors (see below), whose sum is σ = 8097100800. Its totient is φ = 926899200.

The previous prime is 3004103107. The next prime is 3004103159. The reversal of 3004103112 is 2113014003.

It is a junction number, because it is equal to n+sod(n) for n = 3004103091 and 3004103100.

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 31 ways as a sum of consecutive naturals, for example, 1678314 + ... + 1680102.

It is an arithmetic number, because the mean of its divisors is an integer number (63258600).

Almost surely, 23004103112 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 3004103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048550400).

3004103112 is an abundant number, since it is smaller than the sum of its proper divisors (5092997688).

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

3004103112 is a wasteful number, since it uses less digits than its factorization.

3004103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3004103112 is about 54809.6990686867. The cubic root of 3004103112 is about 1442.9067942712.

Adding to 3004103112 its reverse (2113014003), we get a palindrome (5117117115).

The spelling of 3004103112 in words is "three billion, four million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 37 61 62 74 93 111 122 124 148 183 186 222 244 248 296 366 372 444 488 732 744 888 1147 1464 1789 1891 2257 2294 3441 3578 3782 4514 4588 5367 5673 6771 6882 7156 7564 9028 9176 10734 11346 13542 13764 14312 15128 18056 21468 22692 27084 27528 42936 45384 54168 55459 66193 69967 109129 110918 132386 139934 166377 198579 209901 218258 221836 264772 279868 327387 332754 397158 419802 436516 443672 529544 559736 654774 665508 794316 839604 873032 1309548 1331016 1588632 1679208 2051983 2619096 3382999 4037773 4103966 6155949 6765998 8075546 8207932 10148997 12113319 12311898 13531996 16151092 16415864 20297994 24226638 24623796 27063992 32302184 40595988 48453276 49247592 81191976 96906552 125170963 250341926 375512889 500683852 751025778 1001367704 1502051556 3004103112