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11021120032 = 251327972557
BaseRepresentation
bin10100100001110100…
…01111001000100000
31001110002011220110211
422100322033020200
5140032401320112
65021340503504
7540053655166
oct122072171040
931402156424
1011021120032
11474615366a
122176b4ab94
131068410800
14767a0b236
154478620a7
hex290e8f220

11021120032 has 72 divisors (see below), whose sum is σ = 23533963236. Its totient is φ = 5078301696.

The previous prime is 11021120029. The next prime is 11021120041. The reversal of 11021120032 is 23002112011.

It can be written as a sum of positive squares in 6 ways, for example, as 1307834896 + 9713285136 = 36164^2 + 98556^2 .

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 = 11021119994 and 11021120021.

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 11 ways as a sum of consecutive naturals, for example, 4308898 + ... + 4311454.

Almost surely, 211021120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766981618).

11021120032 is an abundant number, since it is smaller than the sum of its proper divisors (12512843204).

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

11021120032 is a wasteful number, since it uses less digits than its factorization.

11021120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11021120032 its reverse (23002112011), we get a palindrome (34023232043).

The spelling of 11021120032 in words is "eleven billion, twenty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 797 1352 1594 2557 2704 3188 5114 5408 6376 10228 10361 12752 20456 20722 25504 33241 40912 41444 66482 81824 82888 132964 134693 165776 265928 269386 331552 432133 531856 538772 864266 1063712 1077544 1728532 2037929 2155088 3457064 4075858 4310176 6914128 8151716 13828256 16303432 26493077 32606864 52986154 65213728 105972308 211944616 344410001 423889232 688820002 847778464 1377640004 2755280008 5510560016 11021120032