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1100201320 = 235235920269
BaseRepresentation
bin100000110010011…
…1011110101101000
32211200020000111001
41001210323311220
54223122420240
6301101044344
736156362011
oct10144736550
92750200431
101100201320
11515042599
122685566b4
13146c214ca
14a6192008
15668c589a
hex4193bd68

1100201320 has 64 divisors (see below), whose sum is σ = 2626992000. Its totient is φ = 413791488.

The previous prime is 1100201317. The next prime is 1100201329. The reversal of 1100201320 is 231020011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100201297 and 1100201306.

It is not an unprimeable number, because it can be changed into a prime (1100201329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44146 + ... + 64414.

It is an arithmetic number, because the mean of its divisors is an integer number (41046750).

Almost surely, 21100201320 is an apocalyptic number.

1100201320 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 1100201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313496000).

1100201320 is an abundant number, since it is smaller than the sum of its proper divisors (1526790680).

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

1100201320 is a wasteful number, since it uses less digits than its factorization.

1100201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20362 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100201320 is about 33169.2827778956. The cubic root of 1100201320 is about 1032.3430869582.

Adding to 1100201320 its reverse (231020011), we get a palindrome (1331221331).

The spelling of 1100201320 in words is "one billion, one hundred million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 460 472 590 920 1180 1357 2360 2714 5428 6785 10856 13570 20269 27140 40538 54280 81076 101345 162152 202690 405380 466187 810760 932374 1195871 1864748 2330935 2391742 3729496 4661870 4783484 5979355 9323740 9566968 11958710 18647480 23917420 27505033 47834840 55010066 110020132 137525165 220040264 275050330 550100660 1100201320