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11442223042300 = 22521031265387797
BaseRepresentation
bin1010011010000001100110…
…1000111100111011111100
31111111212101012022211112201
42212200121220330323330
52444432133044323200
640200252410041244
72260446645054121
oct246403150747374
944455335284481
1011442223042300
11371168a677996
1213496b5419224
1364ccc655339b
142b7b41260748
1514c989d08c6a
hexa6819a3cefc

11442223042300 has 72 divisors (see below), whose sum is σ = 25072955290656. Its totient is φ = 4532043567360.

The previous prime is 11442223042291. The next prime is 11442223042307. The reversal of 11442223042300 is 324032224411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442223042307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130282002 + ... + 130369798.

It is an arithmetic number, because the mean of its divisors is an integer number (348235490148).

Almost surely, 211442223042300 is an apocalyptic number.

11442223042300 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 11442223042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536477645328).

11442223042300 is an abundant number, since it is smaller than the sum of its proper divisors (13630732248356).

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

11442223042300 is a wasteful number, since it uses less digits than its factorization.

11442223042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100567 (or 100560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11442223042300 its reverse (324032224411), we get a palindrome (11766255266711).

The spelling of 11442223042300 in words is "eleven trillion, four hundred forty-two billion, two hundred twenty-three million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 12653 25306 50612 63265 87797 126530 175594 253060 316325 351188 438985 632650 877970 1265300 1303259 1755940 2194925 2606518 4389850 5213036 6516295 8779700 9043091 13032590 18086182 26065180 32581475 36172364 45215455 65162950 90430910 130325900 180861820 226077275 452154550 904309100 1110895441 2221790882 4443581764 5554477205 11108954410 22217908820 27772386025 55544772050 111089544100 114422230423 228844460846 457688921692 572111152115 1144222304230 2288444608460 2860555760575 5721111521150 11442223042300