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11212021100 = 22527313471489
BaseRepresentation
bin10100111000100100…
…11101110101101100
31001221101101200111202
422130102131311230
5140430234133400
65052320305032
7544562415110
oct123422356554
931841350452
1011212021100
114833991445
12220aa72178
131098b30417
14785101740
154594c04d5
hex29c49dd6c

11212021100 has 144 divisors (see below), whose sum is σ = 28804823040. Its totient is φ = 3706905600.

The previous prime is 11212021097. The next prime is 11212021103. The reversal of 11212021100 is 112021211.

It is an interprime number because it is at equal distance from previous prime (11212021097) and next prime (11212021103).

It is not an unprimeable number, because it can be changed into a prime (11212021103) 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, 7529156 + ... + 7530644.

Almost surely, 211212021100 is an apocalyptic number.

11212021100 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 11212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14402411520).

11212021100 is an abundant number, since it is smaller than the sum of its proper divisors (17592801940).

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

11212021100 is a wasteful number, since it uses less digits than its factorization.

11212021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11212021100 its reverse (112021211), we get a palindrome (11324042311).

The spelling of 11212021100 in words is "eleven billion, two hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 347 350 434 620 694 700 775 868 1085 1388 1489 1550 1735 2170 2429 2978 3100 3470 4340 4858 5425 5956 6940 7445 8675 9716 10423 10757 10850 12145 14890 17350 20846 21514 21700 24290 29780 34700 37225 41692 43028 46159 48580 52115 53785 60725 74450 75299 92318 104230 107570 121450 148900 150598 184636 208460 215140 230795 242900 260575 268925 301196 323113 376495 461590 516683 521150 537850 646226 752990 923180 1033366 1042300 1075700 1153975 1292452 1505980 1615565 1882475 2066732 2307950 2583415 3231130 3616781 3764950 4615900 5166830 6462260 7233562 7529900 8077825 10333660 12917075 14467124 16017173 16155650 18083905 25834150 32034346 32311300 36167810 51668300 64068692 72335620 80085865 90419525 112120211 160171730 180839050 224240422 320343460 361678100 400429325 448480844 560601055 800858650 1121202110 1601717300 2242404220 2803005275 5606010550 11212021100