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11422120300 = 22524110127583
BaseRepresentation
bin10101010001100111…
…11011100101101100
31002111000201211102121
422220303323211230
5141343030322200
65125223402324
7553023264163
oct125063734554
932430654377
1011422120300
114931542048
1222692b33a4
131100512486
147a4d923da
1546cb71e1a
hex2a8cfb96c

11422120300 has 72 divisors (see below), whose sum is σ = 25642858752. Its totient is φ = 4413120000.

The previous prime is 11422120289. The next prime is 11422120301. The reversal of 11422120300 is 302122411.

It is not an unprimeable number, because it can be changed into a prime (11422120301) 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, 400309 + ... + 427891.

It is an arithmetic number, because the mean of its divisors is an integer number (356150816).

Almost surely, 211422120300 is an apocalyptic number.

11422120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11422120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821429376).

11422120300 is an abundant number, since it is smaller than the sum of its proper divisors (14220738452).

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

11422120300 is a wasteful number, since it uses less digits than its factorization.

11422120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27739 (or 27732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11422120300 its reverse (302122411), we get a palindrome (11724242711).

The spelling of 11422120300 in words is "eleven billion, four hundred twenty-two million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 164 202 205 404 410 505 820 1010 1025 2020 2050 2525 4100 4141 5050 8282 10100 16564 20705 27583 41410 55166 82820 103525 110332 137915 207050 275830 414100 551660 689575 1130903 1379150 2261806 2758300 2785883 4523612 5571766 5654515 11143532 11309030 13929415 22618060 27858830 28272575 55717660 56545150 69647075 113090300 114221203 139294150 228442406 278588300 456884812 571106015 1142212030 2284424060 2855530075 5711060150 11422120300