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11422140500 = 2253371016113
BaseRepresentation
bin10101010001101000…
…00000100001010100
31002111000202212010202
422220310000201110
5141343031444000
65125224040032
7553023410111
oct125064004124
932430685122
1011422140500
114931556241
122269303018
13110051b724
147a4d99908
1546cb77dd5
hex2a8d00854

11422140500 has 96 divisors (see below), whose sum is σ = 25878067488. Its totient is φ = 4400640000.

The previous prime is 11422140497. The next prime is 11422140581. The reversal of 11422140500 is 504122411.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2171932816 + 9250207684 = 46604^2 + 96178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1865444 + ... + 1871556.

It is an arithmetic number, because the mean of its divisors is an integer number (269563203).

Almost surely, 211422140500 is an apocalyptic number.

11422140500 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 11422140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939033744).

11422140500 is an abundant number, since it is smaller than the sum of its proper divisors (14455926988).

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

11422140500 is a wasteful number, since it uses less digits than its factorization.

11422140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11422140500 its reverse (504122411), we get a palindrome (11926262911).

The spelling of 11422140500 in words is "eleven billion, four hundred twenty-two million, one hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 101 125 148 185 202 250 370 404 500 505 740 925 1010 1850 2020 2525 3700 3737 4625 5050 6113 7474 9250 10100 12226 12625 14948 18500 18685 24452 25250 30565 37370 50500 61130 74740 93425 122260 152825 186850 226181 305650 373700 452362 467125 611300 617413 764125 904724 934250 1130905 1234826 1528250 1868500 2261810 2469652 3056500 3087065 4523620 5654525 6174130 11309050 12348260 15435325 22618100 22844281 28272625 30870650 45688562 56545250 61741300 77176625 91377124 113090500 114221405 154353250 228442810 308706500 456885620 571107025 1142214050 2284428100 2855535125 5711070250 11422140500