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1323101104 = 241329401547
BaseRepresentation
bin100111011011100…
…1110101110110000
310102012122111111121
41032313032232300
510202203213404
6335142352024
744534113423
oct11667165660
93365574447
101323101104
11619946496
1230b12b614
13181165a80
14c7a159ba
157b254e54
hex4edcebb0

1323101104 has 80 divisors (see below), whose sum is σ = 2868253920. Its totient is φ = 587059200.

The previous prime is 1323101083. The next prime is 1323101123. The reversal of 1323101104 is 4011013231.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2418559 + ... + 2419105.

It is an arithmetic number, because the mean of its divisors is an integer number (35853174).

Almost surely, 21323101104 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 1323101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434126960).

1323101104 is an abundant number, since it is smaller than the sum of its proper divisors (1545152816).

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

1323101104 is a wasteful number, since it uses less digits than its factorization.

1323101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1323101104 is about 36374.4567519571. The cubic root of 1323101104 is about 1097.8196768028.

Adding to 1323101104 its reverse (4011013231), we get a palindrome (5334114335).

The spelling of 1323101104 in words is "one billion, three hundred twenty-three million, one hundred one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 401 464 547 754 802 1094 1508 1604 2188 3016 3208 4376 5213 6032 6416 7111 8752 10426 11629 14222 15863 20852 23258 28444 31726 41704 46516 56888 63452 83408 93032 113776 126904 151177 186064 206219 219347 253808 302354 412438 438694 604708 824876 877388 1209416 1649752 1754776 2418832 2851511 3299504 3509552 5703022 6361063 11406044 12722126 22812088 25444252 45624176 50888504 82693819 101777008 165387638 330775276 661550552 1323101104