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3111043104 = 2532132693089
BaseRepresentation
bin1011100101101110…
…1100000000100000
322000210222100211200
42321123230000200
522332411334404
61232412241200
7140044300341
oct27133540040
98023870750
103111043104
111357114804
12729a70200
133a76c3610
142172700c8
151331ca839
hexb96ec020

3111043104 has 144 divisors (see below), whose sum is σ = 9566083800. Its totient is φ = 953376768.

The previous prime is 3111043087. The next prime is 3111043157. The reversal of 3111043104 is 4013401113.

It can be written as a sum of positive squares in 4 ways, for example, as 2111218704 + 999824400 = 45948^2 + 31620^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1005592 + ... + 1008680.

Almost surely, 23111043104 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 3111043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783041900).

3111043104 is an abundant number, since it is smaller than the sum of its proper divisors (6455040696).

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

3111043104 is a wasteful number, since it uses less digits than its factorization.

3111043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3111043104 is about 55776.7254686038. The cubic root of 3111043104 is about 1459.8290761311.

Adding to 3111043104 its reverse (4013401113), we get a palindrome (7124444217).

The spelling of 3111043104 in words is "three billion, one hundred eleven million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 269 288 312 416 468 538 624 807 936 1076 1248 1614 1872 2152 2421 3089 3228 3497 3744 4304 4842 6178 6456 6994 8608 9267 9684 10491 12356 12912 13988 18534 19368 20982 24712 25824 27801 27976 31473 37068 38736 40157 41964 49424 55602 55952 62946 74136 77472 80314 83928 98848 111204 111904 120471 125892 148272 160628 167856 222408 240942 251784 296544 321256 335712 361413 444816 481884 503568 642512 722826 830941 889632 963768 1007136 1285024 1445652 1661882 1927536 2492823 2891304 3323764 3855072 4985646 5782608 6647528 7478469 9971292 10802233 11565216 13295056 14956938 19942584 21604466 26590112 29913876 32406699 39885168 43208932 59827752 64813398 79770336 86417864 97220097 119655504 129626796 172835728 194440194 239311008 259253592 345671456 388880388 518507184 777760776 1037014368 1555521552 3111043104