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224111003130 = 23257929382919
BaseRepresentation
bin1101000010111000001…
…1101000010111111010
3210102110200101112212100
43100232003220113322
512132434404100010
6250542152324230
722122452044530
oct3205603502772
9712420345770
10224111003130
1187054900773
12375263a3676
1318197612331
14abc0374150
155c6a0902c0
hex342e0e85fa

224111003130 has 96 divisors (see below), whose sum is σ = 666648403200. Its totient is φ = 51170098176.

The previous prime is 224111003119. The next prime is 224111003147. The reversal of 224111003130 is 31300111422.

224111003130 is a `hidden beast` number, since 2 + 241 + 110 + 0 + 313 + 0 = 666.

224111003130 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 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, 393811 + ... + 776729.

It is an arithmetic number, because the mean of its divisors is an integer number (6944254200).

Almost surely, 2224111003130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224111003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333324201600).

224111003130 is an abundant number, since it is smaller than the sum of its proper divisors (442537400070).

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

224111003130 is a wasteful number, since it uses less digits than its factorization.

224111003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383868 (or 383865 counting only the distinct ones).

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

Adding to 224111003130 its reverse (31300111422), we get a palindrome (255411114552).

The spelling of 224111003130 in words is "two hundred twenty-four billion, one hundred eleven million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 929 1858 2787 4645 5574 6503 8361 9290 13006 13935 16722 19509 27870 32515 39018 41805 58527 65030 83610 97545 117054 195090 292635 382919 585270 765838 1148757 1914595 2297514 2680433 3446271 3829190 5360866 5743785 6892542 8041299 11487570 13402165 16082598 17231355 24123897 26804330 34462710 40206495 48247794 80412990 120619485 241238970 355731751 711463502 1067195253 1778658755 2134390506 2490122257 3201585759 3557317510 4980244514 5335976265 6403171518 7470366771 10671952530 12450611285 14940733542 16007928795 22411100313 24901222570 32015857590 37351833855 44822200626 74703667710 112055501565 224111003130