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1300330220031 = 321783947108127
BaseRepresentation
bin10010111011000001101…
…110001000100111111111
311121022101020201100221200
4102323001232020213333
5132301034014020111
62433210301230543
7162642252334113
oct22730156104777
94538336640850
101300330220031
11461515567407
12190019b62453
139580b6463cb
1446d17387743
1523c57e03256
hex12ec1b889ff

1300330220031 has 48 divisors (see below), whose sum is σ = 2014845041664. Its totient is φ = 805204806912.

The previous prime is 1300330220003. The next prime is 1300330220041. The reversal of 1300330220031 is 1300220330031.

1300330220031 is a `hidden beast` number, since 1 + 300 + 330 + 2 + 2 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 1300330220031 - 218 = 1300329957887 is a prime.

It is a super-2 number, since 2×13003302200312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300330219986 and 1300330220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300330220041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11971890 + ... + 12080016.

It is an arithmetic number, because the mean of its divisors is an integer number (41975938368).

Almost surely, 21300330220031 is an apocalyptic number.

1300330220031 is a deficient number, since it is larger than the sum of its proper divisors (714514821633).

1300330220031 is a wasteful number, since it uses less digits than its factorization.

1300330220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109180 (or 109177 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1300330220031 its reverse (1300220330031), we get a palindrome (2600550550062).

The spelling of 1300330220031 in words is "one trillion, three hundred billion, three hundred thirty million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 17 51 83 153 249 747 947 1411 2841 4233 8523 12699 16099 48297 78601 108127 144891 235803 324381 707409 973143 1336217 1838159 4008651 5514477 8974541 12025953 16543431 26923623 80770869 102396269 152567197 307188807 457701591 921566421 1373104773 1740736573 5222209719 8498890327 15666629157 25496670981 76490012943 144481135559 433443406677 1300330220031