Search a number
-
+
11000211021520 = 2457217169397501
BaseRepresentation
bin1010000000010010111110…
…1010111001111011010000
31102221121110121201200102021
42200010233222321323100
52420211413010142040
635221232134301224
72213511324633400
oct240045752717320
942847417650367
1011000211021520
11356118838a566
121297ab84b7814
1361a414069b66
142a05ad5c6800
15141219e8e24a
hexa012fab9ed0

11000211021520 has 240 divisors, whose sum is σ = 31520074492368. Its totient is φ = 3547514880000.

The previous prime is 11000211021509. The next prime is 11000211021521. The reversal of 11000211021520 is 2512011200011.

It can be written as a sum of positive squares in 8 ways, for example, as 149933132944 + 10850277888576 = 387212^2 + 3293976^2 .

It is a super-4 number, since 4×110002110215204 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11000211021494 and 11000211021503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000211021521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112772770 + ... + 112870270.

Almost surely, 211000211021520 is an apocalyptic number.

11000211021520 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 11000211021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760037246184).

11000211021520 is an abundant number, since it is smaller than the sum of its proper divisors (20519863470848).

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

11000211021520 is a wasteful number, since it uses less digits than its factorization.

11000211021520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99238 (or 99225 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 11000211021520 its reverse (2512011200011), we get a palindrome (13512222221531).

The spelling of 11000211021520 in words is "eleven trillion, two hundred eleven million, twenty-one thousand, five hundred twenty".