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11034134320 = 2451148725747
BaseRepresentation
bin10100100011010111…
…11000011100110000
31001110222200002201111
422101223320130300
5140044214244240
65022523443104
7540302410546
oct122153703460
931428602644
1011034134320
114752532480
12217b386494
13106b019381
14769637d96
15448a831ea
hex291af8730

11034134320 has 80 divisors (see below), whose sum is σ = 28045133568. Its totient is φ = 4004017920.

The previous prime is 11034134311. The next prime is 11034134341. The reversal of 11034134320 is 2343143011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11034134291 and 11034134300.

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, 415687 + ... + 441433.

Almost surely, 211034134320 is an apocalyptic number.

11034134320 is a gapful number since it is divisible by the number (10) 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 11034134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022566784).

11034134320 is an abundant number, since it is smaller than the sum of its proper divisors (17010999248).

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

11034134320 is a wasteful number, since it uses less digits than its factorization.

11034134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26258 (or 26252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11034134320 its reverse (2343143011), we get a palindrome (13377277331).

The spelling of 11034134320 in words is "eleven billion, thirty-four million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 487 880 974 1948 2435 3896 4870 5357 7792 9740 10714 19480 21428 25747 26785 38960 42856 51494 53570 85712 102988 107140 128735 205976 214280 257470 283217 411952 428560 514940 566434 1029880 1132868 1416085 2059760 2265736 2832170 4531472 5664340 11328680 12538789 22657360 25077578 50155156 62693945 100310312 125387890 137926679 200620624 250775780 275853358 501551560 551706716 689633395 1003103120 1103413432 1379266790 2206826864 2758533580 5517067160 11034134320