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11222130330 = 23252333716087
BaseRepresentation
bin10100111001110010…
…00001111010011010
31001222002102021202200
422130321001322122
5140440331132310
65053321111030
7545044351065
oct123471017232
931862367680
1011222130330
114839666684
122212328476
13109ac5c908
147865b38dc
1545a31a9c0
hex29ce41e9a

11222130330 has 96 divisors (see below), whose sum is σ = 30538370304. Its totient is φ = 2853785088.

The previous prime is 11222130323. The next prime is 11222130343. The reversal of 11222130330 is 3303122211.

11222130330 is a `hidden beast` number, since 1 + 122 + 213 + 0 + 330 = 666.

11222130330 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 (18).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 689547 + ... + 705633.

It is an arithmetic number, because the mean of its divisors is an integer number (318108024).

Almost surely, 211222130330 is an apocalyptic number.

11222130330 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 11222130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269185152).

11222130330 is an abundant number, since it is smaller than the sum of its proper divisors (19316239974).

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

11222130330 is a wasteful number, since it uses less digits than its factorization.

11222130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16460 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11222130330 its reverse (3303122211), we get a palindrome (14525252541).

The spelling of 11222130330 in words is "eleven billion, two hundred twenty-two million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 337 345 414 674 690 1011 1035 1685 2022 2070 3033 3370 5055 6066 7751 10110 15165 15502 16087 23253 30330 32174 38755 46506 48261 69759 77510 80435 96522 116265 139518 144783 160870 232530 241305 289566 348795 370001 482610 697590 723915 740002 1110003 1447830 1850005 2220006 3330009 3700010 5421319 5550015 6660018 10842638 11100030 16263957 16650045 27106595 32527914 33300090 48791871 54213190 81319785 97583742 124690337 162639570 243959355 249380674 374071011 487918710 623451685 748142022 1122213033 1246903370 1870355055 2244426066 3740710110 5611065165 11222130330