Search a number
-
+
11420431113 = 3713397105373
BaseRepresentation
bin10101010001011010…
…11111001100001001
31002110220120000022010
422220231133030021
5141342112243423
65125123250133
7553003030350
oct125055371411
932426500263
1011420431113
114930598a23
122268819949
131100070660
147a4a72997
1546c93b693
hex2a8b5f309

11420431113 has 32 divisors (see below), whose sum is σ = 18788605696. Its totient is φ = 6008732928.

The previous prime is 11420431079. The next prime is 11420431117. The reversal of 11420431113 is 31113402411.

11420431113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11420431113 - 26 = 11420431049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11420431113.

It is not an unprimeable number, because it can be changed into a prime (11420431117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55695 + ... + 161067.

It is an arithmetic number, because the mean of its divisors is an integer number (587143928).

Almost surely, 211420431113 is an apocalyptic number.

11420431113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11420431113 is a deficient number, since it is larger than the sum of its proper divisors (7368174583).

11420431113 is a wasteful number, since it uses less digits than its factorization.

11420431113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105793.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11420431113 its reverse (31113402411), we get a palindrome (42533833524).

The spelling of 11420431113 in words is "eleven billion, four hundred twenty million, four hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 397 1191 2779 5161 8337 15483 36127 105373 108381 316119 737611 1369849 2212833 4109547 9588943 28766829 41833081 125499243 292831567 543830053 878494701 1631490159 3806810371 11420431113