Search a number
-
+
11001313000111 = 72293877639997
BaseRepresentation
bin1010000000010111000101…
…0110100111101010101111
31102221201022102021222212011
42200011301112213222233
52420221142112000421
635221533341422051
72213550535410100
oct240056126475257
942851272258764
1011001313000111
1135616a3426375
12129816556a927
1361a55b4612b5
142a0675abc3a7
15141281ab64e1
hexa01715a7aaf

11001313000111 has 12 divisors (see below), whose sum is σ = 12797882889768. Its totient is φ = 9429374743152.

The previous prime is 11001313000109. The next prime is 11001313000157. The reversal of 11001313000111 is 11100031310011.

11001313000111 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 11001313000111 - 21 = 11001313000109 is a prime.

It is a super-2 number, since 2×110013130001112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001313000091 and 11001313000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001313001111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2380036 + ... + 5259961.

It is an arithmetic number, because the mean of its divisors is an integer number (1066490240814).

Almost surely, 211001313000111 is an apocalyptic number.

11001313000111 is a deficient number, since it is larger than the sum of its proper divisors (1796569889657).

11001313000111 is an equidigital number, since it uses as much as digits as its factorization.

11001313000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669398 (or 7669391 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11001313000111 its reverse (11100031310011), we get a palindrome (22101344310122).

The spelling of 11001313000111 in words is "eleven trillion, one billion, three hundred thirteen million, one hundred eleven", and thus it is an aban number.

Divisors: 1 7 49 29387 205709 1439963 7639997 53479979 374359853 224516591839 1571616142873 11001313000111