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222303113130 = 235761123714029
BaseRepresentation
bin1100111100001001001…
…1000100111110101010
3210020210200112020000110
43033002103010332222
512120234044110010
6250042531115150
722026610166310
oct3170223047652
9706720466013
10222303113130
11863073481aa
1237100a42ab6
1317c69bbbc37
14aa8c2060b0
155bb14c9120
hex33c24c4faa

222303113130 has 128 divisors (see below), whose sum is σ = 620286727680. Its totient is φ = 49935191040.

The previous prime is 222303113119. The next prime is 222303113141. The reversal of 222303113130 is 31311303222.

222303113130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222303113119) and next prime (222303113141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 222303113097 and 222303113106.

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 63 ways as a sum of consecutive naturals, for example, 15838956 + ... + 15852984.

It is an arithmetic number, because the mean of its divisors is an integer number (4845990060).

Almost surely, 2222303113130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222303113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310143363840).

222303113130 is an abundant number, since it is smaller than the sum of its proper divisors (397983614550).

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

222303113130 is a wasteful number, since it uses less digits than its factorization.

222303113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15344.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 222303113130 its reverse (31311303222), we get a palindrome (253614416352).

The spelling of 222303113130 in words is "two hundred twenty-two billion, three hundred three million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1237 1281 1830 2135 2474 2562 3711 4270 6185 6405 7422 8659 12370 12810 14029 17318 18555 25977 28058 37110 42087 43295 51954 70145 75457 84174 86590 98203 129885 140290 150914 196406 210435 226371 259770 294609 377285 420870 452742 491015 528199 589218 754570 855769 982030 1056398 1131855 1473045 1584597 1711538 2263710 2567307 2640995 2946090 3169194 4278845 5134614 5281990 5990383 7922985 8557690 11980766 12836535 15845970 17353873 17971149 25673070 29951915 34707746 35942298 52061619 59903830 86769365 89855745 104123238 121477111 173538730 179711490 242954222 260308095 364431333 520616190 607385555 728862666 1058586253 1214771110 1822156665 2117172506 3175758759 3644313330 5292931265 6351517518 7410103771 10585862530 14820207542 15878793795 22230311313 31757587590 37050518855 44460622626 74101037710 111151556565 222303113130