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1100315320 = 235132837477
BaseRepresentation
bin100000110010101…
…0111101010111000
32211200102210212021
41001211113222320
54223140042240
6301103324224
736160345246
oct10145275270
92750383767
101100315320
11515110205
122685b0674
13146c61370
14a61c1796
15668e954a
hex41957ab8

1100315320 has 64 divisors (see below), whose sum is σ = 2675927520. Its totient is φ = 404780544.

The previous prime is 1100315317. The next prime is 1100315341. The reversal of 1100315320 is 235130011.

It is a junction number, because it is equal to n+sod(n) for n = 1100315294 and 1100315303.

It is a congruent number.

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, 143422 + ... + 150898.

Almost surely, 21100315320 is an apocalyptic number.

1100315320 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 1100315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337963760).

1100315320 is an abundant number, since it is smaller than the sum of its proper divisors (1575612200).

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

1100315320 is a wasteful number, since it uses less digits than its factorization.

1100315320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1100315320 is about 33171.0011907992. The cubic root of 1100315320 is about 1032.3787419621.

Adding to 1100315320 its reverse (235130011), we get a palindrome (1335445331).

The spelling of 1100315320 in words is "one billion, one hundred million, three hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 283 520 566 1132 1415 2264 2830 3679 5660 7358 7477 11320 14716 14954 18395 29432 29908 36790 37385 59816 73580 74770 97201 147160 149540 194402 299080 388804 486005 777608 972010 1944020 2115991 3888040 4231982 8463964 10579955 16927928 21159910 27507883 42319820 55015766 84639640 110031532 137539415 220063064 275078830 550157660 1100315320