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3001011104 = 257133173251
BaseRepresentation
bin1011001011011111…
…1100101110100000
321202010221011022102
42302313330232200
522121224323404
61213442025532
7134240113340
oct26267745640
97663834272
103001011104
1112aaaa1073
126b90482a8
1338a979820
142067cad20
151286e371e
hexb2dfcba0

3001011104 has 96 divisors (see below), whose sum is σ = 7296863616. Its totient is φ = 1183104000.

The previous prime is 3001011077. The next prime is 3001011119. The reversal of 3001011104 is 4011101003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921479 + ... + 924729.

It is an arithmetic number, because the mean of its divisors is an integer number (76008996).

Almost surely, 23001011104 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 3001011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648431808).

3001011104 is an abundant number, since it is smaller than the sum of its proper divisors (4295852512).

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

3001011104 is a wasteful number, since it uses less digits than its factorization.

3001011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 3001011104 is about 54781.4850474136. The cubic root of 3001011104 is about 1442.4115814754.

Adding to 3001011104 its reverse (4011101003), we get a palindrome (7012112107).

It can be divided in two parts, 30010 and 11104, that added together give a palindrome (41114).

The spelling of 3001011104 in words is "three billion, one million, eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 317 364 416 634 728 1268 1456 2219 2536 2912 3251 4121 4438 5072 6502 8242 8876 10144 13004 16484 17752 22757 26008 28847 32968 35504 42263 45514 52016 57694 65936 71008 84526 91028 104032 115388 131872 169052 182056 230776 295841 338104 364112 461552 591682 676208 728224 923104 1030567 1183364 1352416 2061134 2366728 4122268 4733456 7213969 8244536 9466912 13397371 14427938 16489072 26794742 28855876 32978144 53589484 57711752 93781597 107178968 115423504 187563194 214357936 230847008 375126388 428715872 750252776 1500505552 3001011104