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11021322024 = 233417008213
BaseRepresentation
bin10100100001110110…
…00000011100101000
31001110002120011120000
422100323000130220
5140032424301044
65021345103000
7540055456116
oct122073003450
931402504500
1011021322024
1147462813a9
122177027a60
13106848172b
14767a60ab6
154478a1d69
hex290ec0728

11021322024 has 40 divisors (see below), whose sum is σ = 30869908410. Its totient is φ = 3673773792.

The previous prime is 11021321989. The next prime is 11021322149. The reversal of 11021322024 is 42022312011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7387402500 + 3633919524 = 85950^2 + 60282^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11021321988 and 11021322006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8503459 + ... + 8504754.

Almost surely, 211021322024 is an apocalyptic number.

It is an amenable number.

11021322024 is an abundant number, since it is smaller than the sum of its proper divisors (19848586386).

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

11021322024 is a wasteful number, since it uses less digits than its factorization.

11021322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17008231 (or 17008218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11021322024 its reverse (42022312011), we get a palindrome (53043634035).

The spelling of 11021322024 in words is "eleven billion, twenty-one million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 17008213 34016426 51024639 68032852 102049278 136065704 153073917 204098556 306147834 408197112 459221751 612295668 918443502 1224591336 1377665253 1836887004 2755330506 3673774008 5510661012 11021322024