Search a number
-
+
1111100013 = 32127972091
BaseRepresentation
bin100001000111010…
…0000101001101101
32212102201201200100
41002032200221231
54233420200023
6302130421313
736351123432
oct10216405155
92772651610
101111100013
11520206981
12270131839
1314926913a
14a77cbb89
1567829c43
hex423a0a6d

1111100013 has 12 divisors (see below), whose sum is σ = 1617561088. Its totient is φ = 734900040.

The previous prime is 1111099981. The next prime is 1111100021. The reversal of 1111100013 is 3100011111.

It is not a de Polignac number, because 1111100013 - 25 = 1111099981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111099968 and 1111100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111100063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484903 + ... + 487188.

Almost surely, 21111100013 is an apocalyptic number.

It is an amenable number.

1111100013 is a deficient number, since it is larger than the sum of its proper divisors (506461075).

1111100013 is a wasteful number, since it uses less digits than its factorization.

1111100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972224 (or 972221 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1111100013 is about 33333.1668612510. The cubic root of 1111100013 is about 1035.7407201986.

Adding to 1111100013 its reverse (3100011111), we get a palindrome (4211111124).

It can be divided in two parts, 1111 and 100013, that added together give a square (101124 = 3182).

The spelling of 1111100013 in words is "one billion, one hundred eleven million, one hundred thousand, thirteen".

Divisors: 1 3 9 127 381 1143 972091 2916273 8748819 123455557 370366671 1111100013