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11000211022021 = 132923372985601
BaseRepresentation
bin1010000000010010111110…
…1010111010000011000101
31102221121110121201201002211
42200010233222322003011
52420211413010201041
635221232134303421
72213511324635014
oct240045752720305
942847417651084
1011000211022021
11356118838a981
121297ab84b7b71
1361a41406a160
142a05ad5c6a7b
15141219e8e481
hexa012faba0c5

11000211022021 has 24 divisors (see below), whose sum is σ = 12305373606344. Its totient is φ = 9774806630400.

The previous prime is 11000211021907. The next prime is 11000211022033. The reversal of 11000211022021 is 12022011200011.

It can be written as a sum of positive squares in 12 ways, for example, as 3984970145121 + 7015240876900 = 1996239^2 + 2648630^2 .

It is not a de Polignac number, because 11000211022021 - 29 = 11000211021509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11000211021992 and 11000211022010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000211022121) 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 23 ways as a sum of consecutive naturals, for example, 2191621 + ... + 5177221.

Almost surely, 211000211022021 is an apocalyptic number.

It is an amenable number.

11000211022021 is a deficient number, since it is larger than the sum of its proper divisors (1305162584323).

11000211022021 is a wasteful number, since it uses less digits than its factorization.

11000211022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986009 (or 2985980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11000211022021 its reverse (12022011200011), we get a palindrome (23022222222032).

The spelling of 11000211022021 in words is "eleven trillion, two hundred eleven million, twenty-two thousand, twenty-one".

Divisors: 1 13 29 337 377 841 4381 9773 10933 127049 283417 2985601 3684421 38812813 86582429 1006147537 1125571577 2510890441 13079917981 29178278573 32641575733 379317621449 846170078617 11000211022021