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11020201192 = 23711133793631
BaseRepresentation
bin10100100001101101…
…01110110011101000
31001110000110020001201
422100312232303220
5140032132414232
65021305053544
7540043110310
oct122066566350
931400406051
1011020201192
1147456862a0
1221767872b4
13106817b510
1476784c440
1544772ebe7
hex290daece8

11020201192 has 128 divisors (see below), whose sum is σ = 27824025600. Its totient is φ = 3951763200.

The previous prime is 11020201151. The next prime is 11020201201. The reversal of 11020201192 is 29110202011.

It is a happy number.

11020201192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3033217 + ... + 3036847.

It is an arithmetic number, because the mean of its divisors is an integer number (217375200).

Almost surely, 211020201192 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 11020201192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912012800).

11020201192 is an abundant number, since it is smaller than the sum of its proper divisors (16803824408).

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

11020201192 is a wasteful number, since it uses less digits than its factorization.

11020201192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

It can be divided in two parts, 11020 and 201192, that added together give a palindrome (212212).

The spelling of 11020201192 in words is "eleven billion, twenty million, two hundred one thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 379 572 616 728 758 1001 1144 1516 2002 2653 3032 3631 4004 4169 4927 5306 7262 8008 8338 9854 10612 14524 16676 19708 21224 25417 29048 29183 33352 34489 39416 39941 47203 50834 54197 58366 68978 79882 94406 101668 108394 116732 137956 159764 188812 203336 216788 233464 275912 279587 319528 330421 377624 379379 433576 519233 559174 660842 758758 1038466 1118348 1321684 1376149 1517516 2076932 2236696 2643368 2752298 3035032 3634631 4153864 5504596 7269262 9633043 11009192 14538524 15137639 17889937 19266086 29077048 30275278 35779874 38532172 60550556 71559748 77064344 105963473 121101112 125229559 143119496 196789307 211926946 250459118 393578614 423853892 500918236 787157228 847707784 1001836472 1377525149 1574314456 2755050298 5510100596 11020201192