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22130201313333 = 34377384117889
BaseRepresentation
bin1010000100000100101101…
…10010011100000000110101
32220100121220210001101020000
411002002112302130000311
510400040123014011313
6115022250225101513
74442566006311441
oct502022662340065
986317823041200
1022130201313333
117062402787703
122594b93787899
13c46b3b346939
14567170c1b821
152859cd6e0673
hex142096c9c035

22130201313333 has 20 divisors (see below), whose sum is σ = 33952174058220. Its totient is φ = 14354725174272.

The previous prime is 22130201313287. The next prime is 22130201313359. The reversal of 22130201313333 is 33331310203122.

22130201313333 is a `hidden beast` number, since 2 + 2 + 1 + 302 + 0 + 13 + 13 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21297329699409 + 832871613924 = 4614903^2 + 912618^2 .

It is not a de Polignac number, because 22130201313333 - 214 = 22130201296949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22130201313297 and 22130201313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130201313383) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3692055948 + ... + 3692061941.

It is an arithmetic number, because the mean of its divisors is an integer number (1697608702911).

Almost surely, 222130201313333 is an apocalyptic number.

It is an amenable number.

22130201313333 is a deficient number, since it is larger than the sum of its proper divisors (11821972744887).

22130201313333 is an equidigital number, since it uses as much as digits as its factorization.

22130201313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384117938 (or 7384117929 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 22130201313333 its reverse (33331310203122), we get a palindrome (55461511516455).

The spelling of 22130201313333 in words is "twenty-two trillion, one hundred thirty billion, two hundred one million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 81 111 333 999 2997 7384117889 22152353667 66457061001 199371183003 273212361893 598113549009 819637085679 2458911257037 7376733771111 22130201313333