Search a number
-
+
30304211240303 = 7111340186387481
BaseRepresentation
bin1101110001111101111111…
…01111110000010101101111
310222022001110120210221220022
412320332333233300111233
512433001011034142203
6144241321253512355
76245256414306230
oct670767757602557
9128261416727808
1030304211240303
119723a42241540
1234951ab0426bb
1313ba8a0880b10
1476aa3590d087
15378437037a38
hex1b8fbfbf056f

30304211240303 has 64 divisors (see below), whose sum is σ = 40837370241024. Its totient is φ = 21717434880000.

The previous prime is 30304211240249. The next prime is 30304211240309.

30304211240303 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 30304211240303 - 26 = 30304211240239 is a prime.

It is a super-2 number, since 2×303042112403032 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30304211240309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346365323 + ... + 346452803.

It is an arithmetic number, because the mean of its divisors is an integer number (638083910016).

Almost surely, 230304211240303 is an apocalyptic number.

30304211240303 is a deficient number, since it is larger than the sum of its proper divisors (10533159000721).

30304211240303 is a wasteful number, since it uses less digits than its factorization.

30304211240303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88776.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 3030421 and 1240303, that added together give a palindrome (4270724).

The spelling of 30304211240303 in words is "thirty trillion, three hundred four billion, two hundred eleven million, two hundred forty thousand, three hundred three".

Divisors: 1 7 11 13 77 91 143 401 863 1001 2807 4411 5213 6041 9493 11219 30877 36491 57343 66451 78533 87481 123409 346063 401401 612367 863863 962291 1137253 2422441 3806693 4498819 6736037 7960771 12509783 26646851 31491733 35079881 49487009 75496103 87568481 245559167 346409063 385878691 456038453 528472721 830457133 981449339 2701150837 3192269171 5016422983 5813199931 6870145373 10795942729 30273937303 35114960881 75571599103 211917561121 333013310333 393561184939 2331093172331 2754928294573 4329173034329 30304211240303