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11333011140 = 22325116785429
BaseRepresentation
bin10101000111000000…
…00000011011000100
31002020211001121122100
422203200000123010
5141202222324030
65112321432100
7550562001543
oct124340003304
932224047570
1011333011140
11489620a010
12224349b630
1310b7c12b69
147971d815a
15464e1e360
hex2a38006c4

11333011140 has 144 divisors (see below), whose sum is σ = 38062140480. Its totient is φ = 2706359040.

The previous prime is 11333011127. The next prime is 11333011153. The reversal of 11333011140 is 4111033311.

It is an interprime number because it is at equal distance from previous prime (11333011127) and next prime (11333011153).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89946 + ... + 175374.

It is an arithmetic number, because the mean of its divisors is an integer number (264320420).

Almost surely, 211333011140 is an apocalyptic number.

11333011140 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 11333011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031070240).

11333011140 is an abundant number, since it is smaller than the sum of its proper divisors (26729129340).

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

11333011140 is a wasteful number, since it uses less digits than its factorization.

11333011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85522 (or 85517 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11333011140 its reverse (4111033311), we get a palindrome (15444044451).

The spelling of 11333011140 in words is "eleven billion, three hundred thirty-three million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 22110 26532 33165 44220 66330 85429 132660 170858 256287 341716 427145 512574 768861 854290 939719 1025148 1281435 1537722 1708580 1879438 2562870 2819157 3075444 3758876 3844305 4698595 5125740 5638314 5723743 7688610 8457471 9397190 11276628 11447486 14095785 15377220 16914942 17171229 18794380 22894972 28191570 28618715 33829884 34342458 42287355 51513687 56383140 57237430 62961173 68684916 84574710 85856145 103027374 114474860 125922346 169149420 171712290 188883519 206054748 251844692 257568435 314805865 343424580 377767038 515136870 566650557 629611730 755534076 944417595 1030273740 1133301114 1259223460 1888835190 2266602228 2833252785 3777670380 5666505570 11333011140