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11233130012220 = 22351721394660547
BaseRepresentation
bin1010001101110110101010…
…1110010101111000111100
31110202212200010220100202110
42203131222232111320330
52433020422240342340
635520232332454020
72236365301453254
oct243355256257074
943685603810673
1011233130012220
113640a420546a6
12131508061a310
13636383410a4c
142ab98766c964
151472ed42d680
hexa376ab95e3c

11233130012220 has 144 divisors (see below), whose sum is σ = 33652139310720. Its totient is φ = 2799012074496.

The previous prime is 11233130012183. The next prime is 11233130012227. The reversal of 11233130012220 is 2221003133211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233130012227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79987 + ... + 4740533.

It is an arithmetic number, because the mean of its divisors is an integer number (233695411880).

Almost surely, 211233130012220 is an apocalyptic number.

11233130012220 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 11233130012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826069655360).

11233130012220 is an abundant number, since it is smaller than the sum of its proper divisors (22419009298500).

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

11233130012220 is a wasteful number, since it uses less digits than its factorization.

11233130012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660732 (or 4660713 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11233130012220 its reverse (2221003133211), we get a palindrome (13454133145431).

The spelling of 11233130012220 in words is "eleven trillion, two hundred thirty-three billion, one hundred thirty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 139 170 204 255 278 289 340 417 510 556 578 695 834 867 1020 1156 1390 1445 1668 1734 2085 2363 2780 2890 3468 4170 4335 4726 5780 7089 8340 8670 9452 11815 14178 17340 23630 28356 35445 40171 47260 70890 80342 120513 141780 160684 200855 241026 401710 482052 602565 803420 1205130 2410260 4660547 9321094 13981641 18642188 23302735 27963282 46605470 55926564 69908205 79229299 93210940 139816410 158458598 237687897 279632820 316917196 396146495 475375794 647816033 792292990 950751588 1188439485 1295632066 1346898083 1584585980 1943448099 2376878970 2591264132 2693796166 3239080165 3886896198 4040694249 4753757940 5387592332 6478160330 6734490415 7773792396 8081388498 9717240495 11012872561 12956320660 13468980830 16162776996 19434480990 20203471245 22025745122 26937961660 33038617683 38868961980 40406942490 44051490244 55064362805 66077235366 80813884980 110128725610 132154470732 165193088415 187218833537 220257451220 330386176830 374437667074 561656500611 660772353660 748875334148 936094167685 1123313001222 1872188335370 2246626002444 2808282503055 3744376670740 5616565006110 11233130012220