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11221131000 = 2335311293313
BaseRepresentation
bin10100111001101010…
…01101111011111000
31001222000112111221110
422130311031323320
5140440102143000
65053243440320
7545033016432
oct123465157370
931860474843
1011221131000
114839043892
122211b260a0
13109a99cab1
147863d3652
1545a1be850
hex29cd4def8

11221131000 has 128 divisors (see below), whose sum is σ = 35051515200. Its totient is φ = 2988748800.

The previous prime is 11221130969. The next prime is 11221131001. The reversal of 11221131000 is 13112211.

It is a super-2 number, since 2×112211310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221131001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3385344 + ... + 3388656.

Almost surely, 211221131000 is an apocalyptic number.

11221131000 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 11221131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17525757600).

11221131000 is an abundant number, since it is smaller than the sum of its proper divisors (23830384200).

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

11221131000 is a wasteful number, since it uses less digits than its factorization.

11221131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4452 counting only the distinct ones).

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

Adding to 11221131000 its reverse (13112211), we get a palindrome (11234243211).

The spelling of 11221131000 in words is "eleven billion, two hundred twenty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1129 1500 2258 3000 3313 3387 4516 5645 6626 6774 9032 9939 11290 13252 13548 16565 16935 19878 22580 26504 27096 28225 33130 33870 39756 45160 49695 56450 66260 67740 79512 82825 84675 99390 112900 132520 135480 141125 165650 169350 198780 225800 248475 282250 331300 338700 397560 414125 423375 496950 564500 662600 677400 828250 846750 993900 1129000 1242375 1656500 1693500 1987800 2484750 3313000 3387000 3740377 4969500 7480754 9939000 11221131 14961508 18701885 22442262 29923016 37403770 44884524 56105655 74807540 89769048 93509425 112211310 149615080 187018850 224422620 280528275 374037700 448845240 467547125 561056550 748075400 935094250 1122113100 1402641375 1870188500 2244226200 2805282750 3740377000 5610565500 11221131000