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11151111104 = 26731729881
BaseRepresentation
bin10100110001010100…
…00111001111000000
31001210010210010200222
422120222013033000
5140314141023404
65042303002212
7543222611000
oct123052071700
931703703628
1011151111104
114802569901
1221b2599368
1310893251c3
1477ada8000
15453e8cdbe
hex298a873c0

11151111104 has 112 divisors (see below), whose sum is σ = 27324100800. Its totient is φ = 4497776640.

The previous prime is 11151111073. The next prime is 11151111107. The reversal of 11151111104 is 40111115111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11151111107) 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, 358244 + ... + 388124.

Almost surely, 211151111104 is an apocalyptic number.

11151111104 is a gapful number since it is divisible by the number (14) 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 11151111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662050400).

11151111104 is an abundant number, since it is smaller than the sum of its proper divisors (16172989696).

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

11151111104 is an equidigital number, since it uses as much as digits as its factorization.

11151111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29931 (or 29907 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 17.

Adding to 11151111104 its reverse (40111115111), we get a palindrome (51262226215).

The spelling of 11151111104 in words is "eleven billion, one hundred fifty-one million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 343 392 448 476 544 686 784 833 952 1088 1372 1568 1666 1904 2744 3136 3332 3808 5488 5831 6664 7616 10976 11662 13328 21952 23324 26656 29881 46648 53312 59762 93296 119524 186592 209167 239048 373184 418334 478096 507977 836668 956192 1015954 1464169 1673336 1912384 2031908 2928338 3346672 3555839 4063816 5856676 6693344 7111678 8127632 10249183 11713352 13386688 14223356 16255264 20498366 23426704 24890873 28446712 32510528 40996732 46853408 49781746 56893424 81993464 93706816 99563492 113786848 163986928 174236111 199126984 227573696 327973856 348472222 398253968 655947712 696944444 796507936 1393888888 1593015872 2787777776 5575555552 11151111104