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11320300040 = 235743393371
BaseRepresentation
bin10101000101011111…
…00001001000001000
31002012221010211021212
422202233201020020
5141140444100130
65111145152252
7550345651130
oct124257411010
932187124255
1011320300040
11488a017a75
12223b18b688
1310b53b22ba
14795649ac0
15463c5ce95
hex2a2be1208

11320300040 has 64 divisors (see below), whose sum is σ = 29176882560. Its totient is φ = 3872240640.

The previous prime is 11320300037. The next prime is 11320300049. The reversal of 11320300040 is 4000302311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11320299988 and 11320300024.

It is not an unprimeable number, because it can be changed into a prime (11320300049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74555 + ... + 167925.

It is an arithmetic number, because the mean of its divisors is an integer number (455888790).

Almost surely, 211320300040 is an apocalyptic number.

11320300040 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 11320300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588441280).

11320300040 is an abundant number, since it is smaller than the sum of its proper divisors (17856582520).

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

11320300040 is a wasteful number, since it uses less digits than its factorization.

11320300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93822 (or 93818 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11320300040 its reverse (4000302311), we get a palindrome (15320602351).

The spelling of 11320300040 in words is "eleven billion, three hundred twenty million, three hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 433 866 1732 2165 3031 3464 4330 6062 8660 12124 15155 17320 24248 30310 60620 93371 121240 186742 373484 466855 653597 746968 933710 1307194 1867420 2614388 3267985 3734840 5228776 6535970 13071940 26143880 40429643 80859286 161718572 202148215 283007501 323437144 404296430 566015002 808592860 1132030004 1415037505 1617185720 2264060008 2830075010 5660150020 11320300040