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11000201212 = 22711132233907
BaseRepresentation
bin10100011111010100…
…11011111111111100
31001101121211010020201
422033222123333330
5140012022414322
65015312253244
7536411111320
oct121752337774
931347733221
1011000201212
114735365a90
12216bb41224
131063c98100
14764d23980
15445acdd27
hex28fa9bffc

11000201212 has 144 divisors (see below), whose sum is σ = 26128956672. Its totient is φ = 3934794240.

The previous prime is 11000201209. The next prime is 11000201213. The reversal of 11000201212 is 21210200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000201213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12127663 + ... + 12128569.

It is an arithmetic number, because the mean of its divisors is an integer number (181451088).

Almost surely, 211000201212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13064478336).

11000201212 is an abundant number, since it is smaller than the sum of its proper divisors (15128755460).

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

11000201212 is a wasteful number, since it uses less digits than its factorization.

11000201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000201212 its reverse (21210200011), we get a palindrome (32210401223).

It can be divided in two parts, 11000 and 201212, that added together give a palindrome (212212).

The spelling of 11000201212 in words is "eleven billion, two hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 233 286 308 338 364 466 572 676 907 932 1001 1183 1631 1814 1859 2002 2366 2563 3029 3262 3628 3718 4004 4732 5126 6058 6349 6524 7436 9977 10252 11791 12116 12698 13013 17941 19954 21203 23582 25396 26026 33319 35882 39377 39908 42406 47164 52052 66638 69839 71764 78754 82537 84812 129701 133276 139678 153283 157508 165074 211331 233233 259402 275639 279356 306566 330148 422662 433147 466466 518804 551278 613132 845324 866294 907907 932932 1072981 1102556 1479317 1686113 1732588 1815814 2145962 2324641 2747303 2958634 3032029 3372226 3631628 4291924 4649282 5494606 5917268 6064058 6744452 9298564 10989212 11802791 12128116 16272487 19231121 23605582 30220333 32544974 35714939 38462242 47211164 60440666 65089948 71429878 76924484 120881332 142859756 211542331 250004573 392864329 423084662 500009146 785728658 846169324 1000018292 1571457316 2750050303 5500100606 11000201212