Search a number
-
+
11202013330131 = 3136313209141851
BaseRepresentation
bin1010001100000010110000…
…0001100111101011010011
31110122220100120101010112110
42203000230001213223103
52432013210403031011
635454044530200403
72234214222151431
oct243005401475323
943586316333473
1011202013330131
113629824541908
12130b037723103
136334648a6b20
142aa274bc1d51
151465cb775ba6
hexa302c067ad3

11202013330131 has 32 divisors (see below), whose sum is σ = 16115567408640. Its totient is φ = 6880428576000.

The previous prime is 11202013330099. The next prime is 11202013330163. The reversal of 11202013330131 is 13103331020211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11202013330099) and next prime (11202013330163).

It is not a de Polignac number, because 11202013330131 - 25 = 11202013330099 is a prime.

It is a super-2 number, since 2×112020133301312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11202013330098 and 11202013330107.

It is not an unprimeable number, because it can be changed into a prime (11202013340131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78899356 + ... + 79041206.

It is an arithmetic number, because the mean of its divisors is an integer number (503611481520).

Almost surely, 211202013330131 is an apocalyptic number.

11202013330131 is a deficient number, since it is larger than the sum of its proper divisors (4913554078509).

11202013330131 is a wasteful number, since it uses less digits than its factorization.

11202013330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145707.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11202013330131 its reverse (13103331020211), we get a palindrome (24305344350342).

The spelling of 11202013330131 in words is "eleven trillion, two hundred two billion, thirteen million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 13 39 631 1893 3209 8203 9627 24609 41717 125151 141851 425553 1844063 2024879 5532189 6074637 26323427 78970281 89507981 268523943 455199859 1163603753 1365599577 3490811259 5917598167 17752794501 287231111029 861693333087 3734004443377 11202013330131