Search a number
-
+
11221301000 = 2353713123311
BaseRepresentation
bin10100111001101011…
…10111011100001000
31001222000212011010202
422130311313130020
5140440123113000
65053251231332
7545034325160
oct123465673410
931860764122
1011221301000
11483914a588
122211ba8548
13109aa2c2a0
147864395a0
1545a204dd5
hex29cd77708

11221301000 has 128 divisors (see below), whose sum is σ = 32317608960. Its totient is φ = 3551328000.

The previous prime is 11221300999. The next prime is 11221301053. The reversal of 11221301000 is 10312211.

It is a super-2 number, since 2×112213010002 (a number of 21 digits) contains 22 as substring.

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, 29345 + ... + 152655.

It is an arithmetic number, because the mean of its divisors is an integer number (252481320).

Almost surely, 211221301000 is an apocalyptic number.

11221301000 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 11221301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158804480).

11221301000 is an abundant number, since it is smaller than the sum of its proper divisors (21096307960).

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

11221301000 is a wasteful number, since it uses less digits than its factorization.

11221301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123352 (or 123338 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11221301000 its reverse (10312211), we get a palindrome (11231613211).

The spelling of 11221301000 in words is "eleven billion, two hundred twenty-one million, three hundred one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 123311 246622 493244 616555 863177 986488 1233110 1603043 1726354 2466220 3082775 3206086 3452708 4315885 4932440 6165550 6412172 6905416 8015215 8631770 11221301 12331100 12824344 15413875 16030430 17263540 21579425 22442602 24662200 30827750 32060860 34527080 40076075 43158850 44885204 56106505 61655500 64121720 80152150 86317700 89770408 107897125 112213010 123311000 160304300 172635400 200380375 215794250 224426020 280532525 320608600 400760750 431588500 448852040 561065050 801521500 863177000 1122130100 1402662625 1603043000 2244260200 2805325250 5610650500 11221301000