Search a number
-
+
11010122001032 = 23721125431004077
BaseRepresentation
bin1010000000110111111001…
…1010010010101010001000
31102222120001022222121101112
42200031332122102222020
52420342212213013112
635225551421105452
72214312041602400
oct240157632225210
942876038877345
1011010122001032
113565403922120
121299a036b8288
1361b33348918b
142a0c6d9b5800
151415ea115a22
hexa037e692a88

11010122001032 has 96 divisors (see below), whose sum is σ = 26207881672320. Its totient is φ = 4287966802560.

The previous prime is 11010122001029. The next prime is 11010122001059. The reversal of 11010122001032 is 23010022101011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11010122000998 and 11010122001016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10463378 + ... + 11467454.

It is an arithmetic number, because the mean of its divisors is an integer number (272998767420).

Almost surely, 211010122001032 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 11010122001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103940836160).

11010122001032 is an abundant number, since it is smaller than the sum of its proper divisors (15197759671288).

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

11010122001032 is a wasteful number, since it uses less digits than its factorization.

11010122001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006651 (or 1006640 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11010122001032 its reverse (23010022101011), we get a palindrome (34020144102043).

The spelling of 11010122001032 in words is "eleven trillion, ten billion, one hundred twenty-two million, one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 2543 4312 5086 10172 17801 20344 27973 35602 55946 71204 111892 124607 142408 195811 223784 249214 391622 498428 783244 996856 1004077 1370677 1566488 2008154 2741354 4016308 5482708 7028539 8032616 10965416 11044847 14057078 22089694 28114156 44179388 49199773 56228312 77313929 88358776 98399546 154627858 196799092 309255716 393598184 541197503 618511432 1082395006 2164790012 2553367811 4329580024 5106735622 10213471244 17873574677 20426942488 28087045921 35747149354 56174091842 71494298708 112348183684 125115022739 142988597416 196609321447 224696367368 250230045478 393218642894 500460090956 786437285788 1000920181912 1376265250129 1572874571576 2752530500258 5505061000516 11010122001032