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302200331121 = 321313718853349
BaseRepresentation
bin1000110010111001000…
…10110001101101110001
31001220000212020102121100
410121130202301231301
514422401241043441
6350455013515013
730555543301023
oct4313442615561
91056025212540
10302200331121
11107187232677
124a69a342a69
1322660947ba0
14108ab468013
157cda943cb6
hex465c8b1b71

302200331121 has 24 divisors (see below), whose sum is σ = 473520738600. Its totient is φ = 184611983616.

The previous prime is 302200331063. The next prime is 302200331131. The reversal of 302200331121 is 121133002203.

302200331121 is a `hidden beast` number, since 302 + 20 + 0 + 331 + 12 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18147600 + 302182183521 = 4260^2 + 549711^2 .

It is not a de Polignac number, because 302200331121 - 29 = 302200330609 is a prime.

It is a super-2 number, since 2×3022003311212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302200331094 and 302200331103.

It is not an unprimeable number, because it can be changed into a prime (302200331131) 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, 9410646 + ... + 9442703.

It is an arithmetic number, because the mean of its divisors is an integer number (19730030775).

Almost surely, 2302200331121 is an apocalyptic number.

It is an amenable number.

302200331121 is a deficient number, since it is larger than the sum of its proper divisors (171320407479).

302200331121 is a wasteful number, since it uses less digits than its factorization.

302200331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18853505 (or 18853502 counting only the distinct ones).

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

Adding to 302200331121 its reverse (121133002203), we get a palindrome (423333333324).

The spelling of 302200331121 in words is "three hundred two billion, two hundred million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 137 411 1233 1781 5343 16029 18853349 56560047 169680141 245093537 735280611 2205841833 2582908813 7748726439 23246179317 33577814569 100733443707 302200331121