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11145221021 = 1123251293599
BaseRepresentation
bin10100110000100111…
…01001001110011101
31001202201200220000202
422120103221032131
5140311134033041
65041532433245
7543121546514
oct123023511635
931681626022
1011145221021
1147aa206570
1221b0618825
13108804224c
1477a2b367b
154536c7a9b
hex2984e939d

11145221021 has 32 divisors (see below), whose sum is σ = 12802406400. Its totient is φ = 9603880000.

The previous prime is 11145220979. The next prime is 11145221027. The reversal of 11145221021 is 12012254111.

11145221021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11145221021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11145220984 and 11145221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145221027) by changing a digit.

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, 18606080 + ... + 18606678.

It is an arithmetic number, because the mean of its divisors is an integer number (400075200).

Almost surely, 211145221021 is an apocalyptic number.

11145221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11145221021 is a deficient number, since it is larger than the sum of its proper divisors (1657185379).

11145221021 is a wasteful number, since it uses less digits than its factorization.

11145221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177.

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 11145221021 its reverse (12012254111), we get a palindrome (23157475132).

The spelling of 11145221021 in words is "eleven billion, one hundred forty-five million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 11 23 251 253 293 599 2761 3223 5773 6589 6739 13777 63503 73543 74129 150349 151547 175507 808973 1653839 1691489 1930577 3458027 4036661 18606379 38038297 44052257 44403271 484574827 1013201911 11145221021