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11221033120 = 255117189797
BaseRepresentation
bin10100111001101001…
…10110000010100000
31001222000100112200021
422130310312002200
5140440041024440
65053241403224
7545032131163
oct123464660240
931860315607
1011221033120
114838a872a0
122211a99514
13109a96738b
147863a9ada
1545a1a084a
hex29cd360a0

11221033120 has 96 divisors (see below), whose sum is σ = 29327308416. Its totient is φ = 4022860800.

The previous prime is 11221033097. The next prime is 11221033121. The reversal of 11221033120 is 2133012211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11221033094 and 11221033103.

It is not an unprimeable number, because it can be changed into a prime (11221033121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80062 + ... + 169858.

It is an arithmetic number, because the mean of its divisors is an integer number (305492796).

Almost surely, 211221033120 is an apocalyptic number.

11221033120 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 11221033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663654208).

11221033120 is an abundant number, since it is smaller than the sum of its proper divisors (18106275296).

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

11221033120 is a wasteful number, since it uses less digits than its factorization.

11221033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89894 (or 89886 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11221033120 its reverse (2133012211), we get a palindrome (13354045331).

The spelling of 11221033120 in words is "eleven billion, two hundred twenty-one million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 142 160 176 220 284 352 355 440 568 710 781 880 1136 1420 1562 1760 2272 2840 3124 3905 5680 6248 7810 11360 12496 15620 24992 31240 62480 89797 124960 179594 359188 448985 718376 897970 987767 1436752 1795940 1975534 2873504 3591880 3951068 4938835 6375587 7183760 7902136 9877670 12751174 14367520 15804272 19755340 25502348 31608544 31877935 39510680 51004696 63755870 70131457 79021360 102009392 127511740 140262914 158042720 204018784 255023480 280525828 350657285 510046960 561051656 701314570 1020093920 1122103312 1402629140 2244206624 2805258280 5610516560 11221033120