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11212133100 = 2235277736907
BaseRepresentation
bin10100111000100101…
…11001001011101100
31001221101121101010220
422130102321023230
5140430301224400
65052322531340
7544563362460
oct123422711354
931841541126
1011212133100
114833a58603
12220ab06b50
131098b6c3ac
147851304a0
154594e37a0
hex29c4b92ec

11212133100 has 144 divisors (see below), whose sum is σ = 37128123648. Its totient is φ = 2559087360.

The previous prime is 11212133077. The next prime is 11212133113. The reversal of 11212133100 is 133121211.

It is a happy number.

11212133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112121331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11212133100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1619847 + ... + 1626753.

It is an arithmetic number, because the mean of its divisors is an integer number (257834192).

Almost surely, 211212133100 is an apocalyptic number.

11212133100 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 11212133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564061824).

11212133100 is an abundant number, since it is smaller than the sum of its proper divisors (25915990548).

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

11212133100 is a wasteful number, since it uses less digits than its factorization.

11212133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11212133100 its reverse (133121211), we get a palindrome (11345254311).

The spelling of 11212133100 in words is "eleven billion, two hundred twelve million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 773 1050 1546 2100 2319 3092 3865 4638 5411 6907 7730 9276 10822 11595 13814 15460 16233 19325 20721 21644 23190 27055 27628 32466 34535 38650 41442 46380 48349 54110 57975 64932 69070 77300 81165 82884 96698 103605 108220 115950 135275 138140 145047 162330 172675 193396 207210 231900 241745 270550 290094 324660 345350 405825 414420 483490 518025 541100 580188 690700 725235 811650 966980 1036050 1208725 1450470 1623300 2072100 2417450 2900940 3626175 4834900 5339111 7252350 10678222 14504700 16017333 21356444 26695555 32034666 37373777 53391110 64069332 74747554 80086665 106782220 112121331 133477775 149495108 160173330 186868885 224242662 266955550 320346660 373737770 400433325 448485324 533911100 560606655 747475540 800866650 934344425 1121213310 1601733300 1868688850 2242426620 2803033275 3737377700 5606066550 11212133100