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30012200320301 = 1741178812408093
BaseRepresentation
bin1101101001011110000101…
…00010011111110100101101
310221021010201211202020121222
412310233002202133310231
512413204441240222201
6143455225310233125
76215211205403153
oct664570242376455
9127233654666558
1030012200320301
1196211147342a1
1234486951b57a5
1313991a4c40aa4
1475a8538313d3
15370a45e1891b
hex1b4bc289fd2d

30012200320301 has 16 divisors (see below), whose sum is σ = 32554521902448. Its totient is φ = 27556278374400.

The previous prime is 30012200320273. The next prime is 30012200320313. The reversal of 30012200320301 is 10302300221003.

It can be written as a sum of positive squares in 8 ways, for example, as 398033548201 + 29614166772100 = 630899^2 + 5441890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30012200320301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 30012200320301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30012200320801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11259011 + ... + 13667103.

It is an arithmetic number, because the mean of its divisors is an integer number (2034657618903).

Almost surely, 230012200320301 is an apocalyptic number.

It is an amenable number.

30012200320301 is a deficient number, since it is larger than the sum of its proper divisors (2542321582147).

30012200320301 is a wasteful number, since it uses less digits than its factorization.

30012200320301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426032.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30012200320301 its reverse (10302300221003), we get a palindrome (40314500541304).

The spelling of 30012200320301 in words is "thirty trillion, twelve billion, two hundred million, three hundred twenty thousand, three hundred one".

Divisors: 1 17 41 697 17881 303977 733121 2408093 12463057 40937581 98731813 1678440821 43059110933 732004885861 1765423548253 30012200320301