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1103213304 = 233361101829
BaseRepresentation
bin100000111000001…
…1011001011111000
32211212220001011000
41001300123023320
54224410311204
6301245405000
736224105214
oct10160331370
92755801130
101103213304
1151680a536
12269569760
1314773744b
14a6737944
1566cbd039
hex41c1b2f8

1103213304 has 128 divisors (see below), whose sum is σ = 3149352000. Its totient is φ = 357696000.

The previous prime is 1103213291. The next prime is 1103213311. The reversal of 1103213304 is 4033123011.

1103213304 is a `hidden beast` number, since 1 + 10 + 321 + 330 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330362 + ... + 1331190.

Almost surely, 21103213304 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 1103213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574676000).

1103213304 is an abundant number, since it is smaller than the sum of its proper divisors (2046138696).

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

1103213304 is a wasteful number, since it uses less digits than its factorization.

1103213304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1103213304 is about 33214.6549583162. The cubic root of 1103213304 is about 1033.2842988410.

Adding to 1103213304 its reverse (4033123011), we get a palindrome (5136336315).

It can be divided in two parts, 11032 and 13304, that added together give a square (24336 = 1562).

The spelling of 1103213304 in words is "one billion, one hundred three million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 101 108 122 183 202 216 244 303 366 404 488 549 606 732 808 829 909 1098 1212 1464 1647 1658 1818 2196 2424 2487 2727 3294 3316 3636 4392 4974 5454 6161 6588 6632 7272 7461 9948 10908 12322 13176 14922 18483 19896 21816 22383 24644 29844 36966 44766 49288 50569 55449 59688 73932 83729 89532 101138 110898 147864 151707 166347 167458 179064 202276 221796 251187 303414 332694 334916 404552 443592 455121 502374 606828 665388 669832 753561 910242 1004748 1213656 1330776 1365363 1507122 1820484 2009496 2260683 2730726 3014244 3640968 4521366 5107469 5461452 6028488 9042732 10214938 10922904 15322407 18085464 20429876 30644814 40859752 45967221 61289628 91934442 122579256 137901663 183868884 275803326 367737768 551606652 1103213304