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11010011012 = 22711137934807
BaseRepresentation
bin10100100000011111…
…10110111110000100
31001102022021111202122
422100033312332010
5140022030323022
65020302425112
7536560356320
oct122017667604
931368244678
1011010011012
11473a956260
122173292198
131066021220
14766358980
154468ba742
hex2903f6f84

11010011012 has 96 divisors (see below), whose sum is σ = 26197893120. Its totient is φ = 3909409920.

The previous prime is 11010011009. The next prime is 11010011027. The reversal of 11010011012 is 21011001011.

It is a happy number.

11010011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110100110122 (a number of 21 digits) contains 22 as substring.

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, 298913 + ... + 333719.

It is an arithmetic number, because the mean of its divisors is an integer number (272894720).

Almost surely, 211010011012 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 11010011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13098946560).

11010011012 is an abundant number, since it is smaller than the sum of its proper divisors (15187882108).

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

11010011012 is a wasteful number, since it uses less digits than its factorization.

11010011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34921 (or 34919 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11010011012 its reverse (21011001011), we get a palindrome (32021012023).

The spelling of 11010011012 in words is "eleven billion, ten million, eleven thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 79 91 143 154 158 182 286 308 316 364 553 572 869 1001 1027 1106 1738 2002 2054 2212 3476 4004 4108 6083 7189 11297 12166 14378 22594 24332 28756 34807 45188 69614 79079 139228 158158 243649 316316 382877 452491 487298 765754 904982 974596 1531508 1809964 2680139 2749753 3167437 4977401 5360278 5499506 6334874 9954802 10720556 10999012 12669748 19248271 19909604 30247283 34841807 35746789 38496542 60494566 69683614 71493578 76993084 120989132 139367228 142987156 211730981 250227523 393214679 423461962 500455046 786429358 846923924 1000910092 1572858716 2752502753 5505005506 11010011012