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11000201220 = 2233517270487
BaseRepresentation
bin10100011111010100…
…11100000000000100
31001101121211010021000
422033222130000010
5140012022414340
65015312253300
7536411111331
oct121752340004
931347733230
1011000201220
114735365a98
12216bb41230
131063c98108
14764d23988
15445acdd30
hex28fa9c004

11000201220 has 144 divisors (see below), whose sum is σ = 36354890880. Its totient is φ = 2760795648.

The previous prime is 11000201213. The next prime is 11000201281. The reversal of 11000201220 is 2210200011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120817 + ... + 191303.

It is an arithmetic number, because the mean of its divisors is an integer number (252464520).

Almost surely, 211000201220 is an apocalyptic number.

11000201220 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 11000201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177445440).

11000201220 is an abundant number, since it is smaller than the sum of its proper divisors (25354689660).

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

11000201220 is a wasteful number, since it uses less digits than its factorization.

11000201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70539 (or 70514 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000201220 its reverse (2210200011), we get a palindrome (13210401231).

The spelling of 11000201220 in words is "eleven billion, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 340 459 510 540 578 612 765 867 918 1020 1156 1445 1530 1734 1836 2295 2601 2890 3060 3468 4335 4590 5202 5780 7803 8670 9180 10404 13005 15606 17340 26010 31212 39015 52020 70487 78030 140974 156060 211461 281948 352435 422922 634383 704870 845844 1057305 1198279 1268766 1409740 1903149 2114610 2396558 2537532 3171915 3594837 3806298 4229220 4793116 5991395 6343830 7189674 7612596 9515745 10784511 11982790 12687660 14379348 17974185 19031490 20370743 21569022 23965580 32353533 35948370 38062980 40741486 43138044 53922555 61112229 64707066 71896740 81482972 101853715 107845110 122224458 129414132 161767665 183336687 203707430 215690220 244448916 305561145 323535330 366673374 407414860 550010061 611122290 647070660 733346748 916683435 1100020122 1222244580 1833366870 2200040244 2750050305 3666733740 5500100610 11000201220