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11021322320 = 245754118269
BaseRepresentation
bin10100100001110110…
…00000100001010000
31001110002120011221222
422100323000201100
5140032424303240
65021345104212
7540055460021
oct122073004120
931402504858
1011021322320
114746281648
122177028068
1310684818c8
14767a60c48
154478a1eb5
hex290ec0850

11021322320 has 40 divisors (see below), whose sum is σ = 25629375240. Its totient is φ = 4407703040.

The previous prime is 11021322289. The next prime is 11021322329. The reversal of 11021322320 is 2322312011.

It can be written as a sum of positive squares in 4 ways, for example, as 507691024 + 10513631296 = 22532^2 + 102536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021322329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594146 + ... + 612414.

It is an arithmetic number, because the mean of its divisors is an integer number (640734381).

Almost surely, 211021322320 is an apocalyptic number.

11021322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021322320 is an abundant number, since it is smaller than the sum of its proper divisors (14608052920).

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

11021322320 is a wasteful number, since it uses less digits than its factorization.

11021322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25823 (or 25817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11021322320 its reverse (2322312011), we get a palindrome (13343634331).

The spelling of 11021322320 in words is "eleven billion, twenty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7541 15082 18269 30164 36538 37705 60328 73076 75410 91345 120656 146152 150820 182690 292304 301640 365380 603280 730760 1461520 137766529 275533058 551066116 688832645 1102132232 1377665290 2204264464 2755330580 5510661160 11021322320