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11213314020 = 22325615471867
BaseRepresentation
bin10100111000101110…
…11001011111100100
31001221110211101001200
422130113121133210
5140431102022040
65052404122500
7544606411416
oct123427313744
931843741050
1011213314020
114834694877
12220b396430
131099193a6c
1478535a9b6
15459678630
hex29c5d97e4

11213314020 has 144 divisors (see below), whose sum is σ = 34653073728. Its totient is φ = 2934247680.

The previous prime is 11213314001. The next prime is 11213314043. The reversal of 11213314020 is 2041331211.

It is a super-2 number, since 2×112133140202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11213313984 and 11213314002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005127 + ... + 6006993.

Almost surely, 211213314020 is an apocalyptic number.

11213314020 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 11213314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326536864).

11213314020 is an abundant number, since it is smaller than the sum of its proper divisors (23439759708).

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

11213314020 is a wasteful number, since it uses less digits than its factorization.

11213314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11213314020 its reverse (2041331211), we get a palindrome (13254645231).

The spelling of 11213314020 in words is "eleven billion, two hundred thirteen million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 547 549 610 732 915 1094 1098 1220 1641 1830 1867 2188 2196 2735 2745 3282 3660 3734 4923 5470 5490 5601 6564 7468 8205 9335 9846 10940 10980 11202 16410 16803 18670 19692 22404 24615 28005 32820 33367 33606 37340 49230 56010 66734 67212 84015 98460 100101 112020 113887 133468 166835 168030 200202 227774 300303 333670 336060 341661 400404 455548 500505 569435 600606 667340 683322 1001010 1021249 1024983 1138870 1201212 1366644 1501515 1708305 2002020 2042498 2049966 2277740 3003030 3063747 3416610 4084996 4099932 5106245 5124915 6006060 6127494 6833220 9191241 10212490 10249830 12254988 15318735 18382482 20424980 20499660 30637470 36764964 45956205 61274940 62296189 91912410 124592378 183824820 186888567 249184756 311480945 373777134 560665701 622961890 747554268 934442835 1121331402 1245923780 1868885670 2242662804 2803328505 3737771340 5606657010 11213314020