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11221215960 = 2335611738861
BaseRepresentation
bin10100111001101011…
…00010101011011000
31001222000200211111010
422130311202223120
5140440112402320
65053245333520
7545033522223
oct123465425330
931860624433
1011221215960
1148390a16a9
122211b672a0
13109a9cc676
147864165ba
1545a1d9ae0
hex29cd62ad8

11221215960 has 128 divisors (see below), whose sum is σ = 34417172160. Its totient is φ = 2925926400.

The previous prime is 11221215881. The next prime is 11221215961. The reversal of 11221215960 is 6951212211.

11221215960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221215961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261930 + ... + 1270790.

Almost surely, 211221215960 is an apocalyptic number.

11221215960 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 11221215960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208586080).

11221215960 is an abundant number, since it is smaller than the sum of its proper divisors (23195956200).

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

11221215960 is a wasteful number, since it uses less digits than its factorization.

11221215960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 11221215960 in words is "eleven billion, two hundred twenty-one million, two hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 173 183 244 305 346 366 488 519 610 692 732 865 915 1038 1220 1384 1464 1730 1830 2076 2440 2595 3460 3660 4152 5190 6920 7320 8861 10380 10553 17722 20760 21106 26583 31659 35444 42212 44305 52765 53166 63318 70888 84424 88610 105530 106332 126636 132915 158295 177220 211060 212664 253272 265830 316590 354440 422120 531660 540521 633180 1063320 1081042 1266360 1532953 1621563 2162084 2702605 3065906 3243126 4324168 4598859 5405210 6131812 6486252 7664765 8107815 9197718 10810420 12263624 12972504 15329530 16215630 18395436 21620840 22994295 30659060 32431260 36790872 45988590 61318120 64862520 91977180 93510133 183954360 187020266 280530399 374040532 467550665 561060798 748081064 935101330 1122121596 1402651995 1870202660 2244243192 2805303990 3740405320 5610607980 11221215960