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11300303340 = 22325211297533
BaseRepresentation
bin10101000011000110…
…01111000111101100
31002011112111212222100
422201203033013230
5141120334201330
65105152415100
7550013664534
oct124143170754
932145455870
1011300303340
1148797aa177
122234547490
1310b1200531
14792b224c4
1546210d060
hex2a18cf1ec

11300303340 has 72 divisors (see below), whose sum is σ = 34440155568. Its totient is φ = 2999122560.

The previous prime is 11300303323. The next prime is 11300303383. The reversal of 11300303340 is 4330300311.

11300303340 is a `hidden beast` number, since 1 + 1 + 300 + 30 + 334 + 0 = 666.

11300303340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110787 + ... + 186746.

It is an arithmetic number, because the mean of its divisors is an integer number (478335494).

Almost surely, 211300303340 is an apocalyptic number.

11300303340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300303340 is an abundant number, since it is smaller than the sum of its proper divisors (23139852228).

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

11300303340 is a wasteful number, since it uses less digits than its factorization.

11300303340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297759 (or 297754 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11300303340 its reverse (4330300311), we get a palindrome (15630603651).

The spelling of 11300303340 in words is "eleven billion, three hundred million, three hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2110 2532 3165 3798 4220 6330 7596 9495 12660 18990 37980 297533 595066 892599 1190132 1487665 1785198 2677797 2975330 3570396 4462995 5355594 5950660 8925990 10711188 13388985 17851980 26777970 53555940 62779463 125558926 188338389 251117852 313897315 376676778 565015167 627794630 753353556 941691945 1130030334 1255589260 1883383890 2260060668 2825075835 3766767780 5650151670 11300303340