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11200201012 = 22711132996457
BaseRepresentation
bin10100110111001010…
…11000000100110100
31001220120011011101201
422123211120010310
5140414222413022
65051215102244
7544360065160
oct123345300464
931816134351
1011200201012
114828248880
122206b11984
1310965522a0
14783705ca0
15458438127
hex29b958134

11200201012 has 96 divisors (see below), whose sum is σ = 27224305920. Its totient is φ = 3889105920.

The previous prime is 11200200971. The next prime is 11200201021. The reversal of 11200201012 is 21010200211.

It is a self number, because there is not a number n which added to its sum of digits gives 11200201012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67888 + ... + 164344.

It is an arithmetic number, because the mean of its divisors is an integer number (283586520).

Almost surely, 211200201012 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 11200201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13612152960).

11200201012 is an abundant number, since it is smaller than the sum of its proper divisors (16024104908).

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

11200201012 is a wasteful number, since it uses less digits than its factorization.

11200201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96521 (or 96519 counting only the distinct ones).

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

Adding to 11200201012 its reverse (21010200211), we get a palindrome (32210401223).

It can be divided in two parts, 11200 and 201012, that added together give a palindrome (212212).

The spelling of 11200201012 in words is "eleven billion, two hundred million, two hundred one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 143 154 182 203 286 308 319 364 377 406 572 638 754 812 1001 1276 1508 2002 2233 2639 4004 4147 4466 5278 8294 8932 10556 16588 29029 58058 96457 116116 192914 385828 675199 1061027 1253941 1350398 2122054 2507882 2700796 2797253 4244108 5015764 5594506 7427189 8777587 11189012 13793351 14854378 17555174 19580771 27586702 29708756 30769783 35110348 36364289 39161542 55173404 61539566 72728578 78323084 96553457 123079132 145457156 193106914 215388481 254550023 386213828 400007179 430776962 509100046 800014358 861553924 1018200092 1600028716 2800050253 5600100506 11200201012