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11003021111120 = 2451132131571163
BaseRepresentation
bin1010000000011101011100…
…1010100010111101010000
31102221212201110102000122212
42200013113022202331100
52420233141401023440
635222415040251252
72213641056203423
oct240072712427520
942855643360585
1011003021111120
11356239a629465
121298561610b28
1361a7712ba67c
142a07988b59ba
15141331a1d465
hexa01d72a2f50

11003021111120 has 80 divisors (see below), whose sum is σ = 25820569824192. Its totient is φ = 4360205015040.

The previous prime is 11003021111087. The next prime is 11003021111123. The reversal of 11003021111120 is 2111112030011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11003021111095 and 11003021111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003021111123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18978659 + ... + 19549821.

Almost surely, 211003021111120 is an apocalyptic number.

11003021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003021111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12910284912096).

11003021111120 is an abundant number, since it is smaller than the sum of its proper divisors (14817548713072).

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

11003021111120 is a wasteful number, since it uses less digits than its factorization.

11003021111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573420 (or 573414 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11003021111120 its reverse (2111112030011), we get a palindrome (13114133141131).

The spelling of 11003021111120 in words is "eleven trillion, three billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2131 2260 4262 4520 8524 9040 10655 17048 21310 34096 42620 85240 170480 240803 481606 571163 963212 1142326 1204015 1926424 2284652 2408030 2855815 3852848 4569304 4816060 5711630 9138608 9632120 11423260 19264240 22846520 45693040 64541419 129082838 258165676 322707095 516331352 645414190 1032662704 1217148353 1290828380 2434296706 2581656760 4868593412 5163313520 6085741765 9737186824 12171483530 19474373648 24342967060 48685934120 97371868240 137537763889 275075527778 550151055556 687688819445 1100302111112 1375377638890 2200604222224 2750755277780 5501510555560 11003021111120