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223113002130 = 232523107784059
BaseRepresentation
bin1100111111001010010…
…0100011110010010010
3210022220010110211212100
43033302210203302102
512123413412032010
6250255141541230
722055643140604
oct3176244436222
9708803424770
10223113002130
1186692522857
12372a8114816
1318068924cb5
14ab279c7174
155c0c6562c0
hex33f2923c92

223113002130 has 48 divisors (see below), whose sum is σ = 605315280960. Its totient is φ = 56909982624.

The previous prime is 223113002129. The next prime is 223113002137. The reversal of 223113002130 is 31200311322.

223113002130 is a `hidden beast` number, since 2 + 2 + 311 + 300 + 21 + 30 = 666.

223113002130 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231130021303 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223113002137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53889960 + ... + 53894099.

It is an arithmetic number, because the mean of its divisors is an integer number (12610735020).

Almost surely, 2223113002130 is an apocalyptic number.

223113002130 is an abundant number, since it is smaller than the sum of its proper divisors (382202278830).

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

223113002130 is a wasteful number, since it uses less digits than its factorization.

223113002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107784095 (or 107784092 counting only the distinct ones).

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

Adding to 223113002130 its reverse (31200311322), we get a palindrome (254313313452).

The spelling of 223113002130 in words is "two hundred twenty-three billion, one hundred thirteen million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 107784059 215568118 323352177 538920295 646704354 970056531 1077840590 1616760885 1940113062 2479033357 3233521770 4850282655 4958066714 7437100071 9700565310 12395166785 14874200142 22311300213 24790333570 37185500355 44622600426 74371000710 111556501065 223113002130