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11222321130 = 23254722311897
BaseRepresentation
bin10100111001110011…
…10000011111101010
31001222002202222111100
422130321300133222
5140440403234010
65053325142230
7545046104256
oct123471603752
931862688440
1011222321130
114839786a69
1222123ba976
13109acc8707
14786623266
1545a3572c0
hex29ce707ea

11222321130 has 96 divisors (see below), whose sum is σ = 29934987264. Its totient is φ = 2915566848.

The previous prime is 11222321113. The next prime is 11222321153. The reversal of 11222321130 is 3112322211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 937342 + ... + 949238.

It is an arithmetic number, because the mean of its divisors is an integer number (311822784).

Almost surely, 211222321130 is an apocalyptic number.

11222321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967493632).

11222321130 is an abundant number, since it is smaller than the sum of its proper divisors (18712666134).

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

11222321130 is a wasteful number, since it uses less digits than its factorization.

11222321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12180 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11222321130 its reverse (3112322211), we get a palindrome (14334643341).

The spelling of 11222321130 in words is "eleven billion, two hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 223 235 282 423 446 470 669 705 846 1115 1338 1410 2007 2115 2230 3345 4014 4230 6690 10035 10481 11897 20070 20962 23794 31443 35691 52405 59485 62886 71382 94329 104810 107073 118970 157215 178455 188658 214146 314430 356910 471645 535365 559159 943290 1070730 1118318 1677477 2653031 2795795 3354954 5032431 5306062 5591590 7959093 8387385 10064862 13265155 15918186 16774770 23877279 25162155 26530310 39795465 47754558 50324310 79590930 119386395 124692457 238772790 249384914 374077371 623462285 748154742 1122232113 1246924570 1870386855 2244464226 3740773710 5611160565 11222321130