Search a number
-
+
111053064304 = 24713161947111
BaseRepresentation
bin110011101101101000…
…1110100100001110000
3101121122110221012000201
41213123101310201300
53304414041024204
6123003404324544
711010666320530
oct1473321644160
9347573835021
10111053064304
1143108617996
1219633543754
13a61a726190
145536dc54c0
152d4e7ab9a4
hex19db474870

111053064304 has 80 divisors (see below), whose sum is σ = 264988039680. Its totient is φ = 43905012480.

The previous prime is 111053064301. The next prime is 111053064359. The reversal of 111053064304 is 403460350111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111053064301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2333709 + ... + 2380819.

It is an arithmetic number, because the mean of its divisors is an integer number (3312350496).

Almost surely, 2111053064304 is an apocalyptic number.

111053064304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111053064304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132494019840).

111053064304 is an abundant number, since it is smaller than the sum of its proper divisors (153934975376).

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

111053064304 is a wasteful number, since it uses less digits than its factorization.

111053064304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48758 (or 48752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 111053064304 in words is "one hundred eleven billion, fifty-three million, sixty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1619 3238 6476 11333 12952 21047 22666 25904 42094 45332 47111 84188 90664 94222 147329 168376 181328 188444 294658 329777 336752 376888 589316 612443 659554 753776 1178632 1224886 1319108 2357264 2449772 2638216 4287101 4899544 5276432 8574202 9799088 17148404 34296808 68593616 76272709 152545418 305090836 533908963 610181672 991545217 1067817926 1220363344 1983090434 2135635852 3966180868 4271271704 6940816519 7932361736 8542543408 13881633038 15864723472 27763266076 55526532152 111053064304