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11100011340 = 223511129712967
BaseRepresentation
bin10100101011001110…
…01011101101001100
31001122120122000000010
422111213023231030
5140213100330330
65033235433220
7542032353045
oct122547135514
931576560003
1011100011340
1147867378a0
122199455810
13107b873362
147742a58cc
1544e7473b0
hex2959cbb4c

11100011340 has 96 divisors (see below), whose sum is σ = 33934247424. Its totient is φ = 2688629760.

The previous prime is 11100011323. The next prime is 11100011353. The reversal of 11100011340 is 4311000111.

It is a Harshad number since it is a multiple of its sum of digits (12).

11100011340 is a modest number, since divided by 11340 gives 11100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849537 + ... + 862503.

It is an arithmetic number, because the mean of its divisors is an integer number (353481744).

Almost surely, 211100011340 is an apocalyptic number.

11100011340 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 11100011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967123712).

11100011340 is an abundant number, since it is smaller than the sum of its proper divisors (22834236084).

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

11100011340 is a wasteful number, since it uses less digits than its factorization.

11100011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14287 (or 14285 counting only the distinct ones).

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

Adding to 11100011340 its reverse (4311000111), we get a palindrome (15411011451).

The spelling of 11100011340 in words is "eleven billion, one hundred million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1297 2594 3891 5188 6485 7782 12967 12970 14267 15564 19455 25934 25940 28534 38901 38910 42801 51868 57068 64835 71335 77802 77820 85602 129670 142637 142670 155604 171204 194505 214005 259340 285274 285340 389010 427911 428010 570548 713185 778020 855822 856020 1426370 1711644 2139555 2852740 4279110 8558220 16818199 33636398 50454597 67272796 84090995 100909194 168181990 185000189 201818388 252272985 336363980 370000378 504545970 555000567 740000756 925000945 1009091940 1110001134 1850001890 2220002268 2775002835 3700003780 5550005670 11100011340