Search a number
-
+
11020300303131 = 327251794825129
BaseRepresentation
bin1010000001011101110100…
…0101011011101100011011
31110000112022200020221000100
42200113131011123230123
52421024033334200011
635234353413310443
72215122213001500
oct240273505335433
943015280227010
1011020300303131
11356975724a139
12129b984335423
1361c2960a4742
142a15576ad4a7
151419e3993d56
hexa05dd15bb1b

11020300303131 has 36 divisors (see below), whose sum is σ = 18520682489400. Its totient is φ = 6296097221568.

The previous prime is 11020300303087. The next prime is 11020300303141. The reversal of 11020300303131 is 13130300302011.

It is a happy number.

11020300303131 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 300 + 30 + 313 + 1 = 666.

It is not a de Polignac number, because 11020300303131 - 235 = 10985940564763 is a prime.

It is a super-3 number, since 3×110203003031313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11020300303141) 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 35 ways as a sum of consecutive naturals, for example, 128626 + ... + 4696503.

Almost surely, 211020300303131 is an apocalyptic number.

11020300303131 is a deficient number, since it is larger than the sum of its proper divisors (7500382186269).

11020300303131 is a wasteful number, since it uses less digits than its factorization.

11020300303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830328 (or 4830318 counting only the distinct ones).

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

Adding to 11020300303131 its reverse (13130300302011), we get a palindrome (24150600605142).

The spelling of 11020300303131 in words is "eleven trillion, twenty billion, three hundred million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 5179 15537 36253 46611 108759 253771 326277 761313 2283939 4825129 14475387 33775903 43426161 101327709 236431321 303983127 709293963 2127881889 24989343091 74968029273 174925401637 224904087819 524776204911 1224477811459 1574328614733 3673433434377 11020300303131