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10301303010213 = 342411948927077
BaseRepresentation
bin1001010111100111010110…
…0000011011001110100101
31100110210110112000001120000
42111321311200123032211
52322234032032311323
633524204150131513
72112146614565355
oct225716540331645
940423415001500
1010301303010213
113311837aa4166
1211a4565650b99
13599540c07297
1427882b336b65
1512ce61bd8e43
hex95e7581b3a5

10301303010213 has 40 divisors (see below), whose sum is σ = 15453581942040. Its totient is φ = 6838435860480.

The previous prime is 10301303010209. The next prime is 10301303010223. The reversal of 10301303010213 is 31201030310301.

It is a happy number.

10301303010213 is a `hidden beast` number, since 10 + 301 + 30 + 301 + 0 + 21 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1435546648449 + 8865756361764 = 1198143^2 + 2977542^2 .

It is not a de Polignac number, because 10301303010213 - 22 = 10301303010209 is a prime.

It is a super-2 number, since 2×103013030102132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301303010223) 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 39 ways as a sum of consecutive naturals, for example, 380431231 + ... + 380458307.

It is an arithmetic number, because the mean of its divisors is an integer number (386339548551).

Almost surely, 210301303010213 is an apocalyptic number.

It is an amenable number.

10301303010213 is a deficient number, since it is larger than the sum of its proper divisors (5152278931827).

10301303010213 is a wasteful number, since it uses less digits than its factorization.

10301303010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46819 (or 46810 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10301303010213 its reverse (31201030310301), we get a palindrome (41502333320514).

The spelling of 10301303010213 in words is "ten trillion, three hundred one billion, three hundred three million, ten thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 241 723 2169 6507 19489 19521 27077 58467 81231 175401 243693 526203 731079 1578609 2193237 4696849 6525557 14090547 19576671 42271641 58730013 126814923 176190039 380444769 527703653 528570117 1583110959 4749332877 14247998631 42743995893 127176580373 381529741119 1144589223357 3433767670071 10301303010213