Search a number
-
+
11121310442431 = 719720531160519
BaseRepresentation
bin1010000111010110000111…
…0000100010001110111111
31110101012001020122122212201
42201311201300202032333
52424202420433124211
635353020503212331
72225326304010520
oct241654160421677
943335036578781
1011121310442431
1135a85808a3902
1212b74744470a7
13628972c61437
142a63ba95a847
151444567140c1
hexa1d61c223bf

11121310442431 has 16 divisors (see below), whose sum is σ = 13379217292800. Its totient is φ = 9030705437088.

The previous prime is 11121310442401. The next prime is 11121310442447. The reversal of 11121310442431 is 13424401312111.

11121310442431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11121310442431 - 217 = 11121310311359 is a prime.

It is a super-3 number, since 3×111213104424313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11121310442431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121310442401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9002790 + ... + 10163308.

It is an arithmetic number, because the mean of its divisors is an integer number (836201080800).

Almost surely, 211121310442431 is an apocalyptic number.

11121310442431 is a deficient number, since it is larger than the sum of its proper divisors (2257906850369).

11121310442431 is a wasteful number, since it uses less digits than its factorization.

11121310442431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232598.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 11121310442431 its reverse (13424401312111), we get a palindrome (24545711754542).

The spelling of 11121310442431 in words is "eleven trillion, one hundred twenty-one billion, three hundred ten million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 7 19 133 72053 504371 1160519 1369007 8123633 9583049 22049861 154349027 83618875507 585332128549 1588758634633 11121310442431