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11243330304 = 283233717203
BaseRepresentation
bin10100111100010011…
…11001101100000000
31002000120022100122220
422132021321230000
5141011243032204
65055355331040
7545422505433
oct123611715400
932016270586
1011243330304
11484a626518
122219450a80
1310a247328b
1478933181a
1545c1071d9
hex29e279b00

11243330304 has 144 divisors (see below), whose sum is σ = 32070458112. Its totient is φ = 3487739904.

The previous prime is 11243330269. The next prime is 11243330311. The reversal of 11243330304 is 40303334211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 644967 + ... + 662169.

Almost surely, 211243330304 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 11243330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035229056).

11243330304 is an abundant number, since it is smaller than the sum of its proper divisors (20827127808).

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

11243330304 is a wasteful number, since it uses less digits than its factorization.

11243330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17282 (or 17268 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11243330304 its reverse (40303334211), we get a palindrome (51546664515).

The spelling of 11243330304 in words is "eleven billion, two hundred forty-three million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 128 138 148 184 192 222 256 276 296 368 384 444 552 592 736 768 851 888 1104 1184 1472 1702 1776 2208 2368 2553 2944 3404 3552 4416 4736 5106 5888 6808 7104 8832 9472 10212 13616 14208 17203 17664 20424 27232 28416 34406 40848 51609 54464 68812 81696 103218 108928 137624 163392 206436 217856 275248 326784 395669 412872 550496 636511 653568 791338 825744 1100992 1187007 1273022 1582676 1651488 1909533 2201984 2374014 2546044 3165352 3302976 3819066 4403968 4748028 5092088 6330704 6605952 7638132 9496056 10184176 12661408 13211904 14639753 15276264 18992112 20368352 25322816 29279506 30552528 37984224 40736704 43919259 50645632 58559012 61105056 75968448 81473408 87838518 101291264 117118024 122210112 151936896 162946816 175677036 234236048 244420224 303873792 351354072 468472096 488840448 702708144 936944192 1405416288 1873888384 2810832576 3747776768 5621665152 11243330304