Search a number
-
+
112121111003 = 11292111665767
BaseRepresentation
bin110100001101011110…
…0000110000111011011
3101201101220122120122212
41220122330012013123
53314111001023003
6123301400305335
711046315501356
oct1503274060733
9351356576585
10112121111003
1143606498210
121989117224b
13a75aa99a85
1455d8ba729d
152db342edd8
hex1a1af061db

112121111003 has 16 divisors (see below), whose sum is σ = 127131413760. Its totient is φ = 97947040800.

The previous prime is 112121110921. The next prime is 112121111017. The reversal of 112121111003 is 300111121211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112121111003 is a prime.

It is a super-2 number, since 2×1121211110032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112121111083) 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 15 ways as a sum of consecutive naturals, for example, 765575 + ... + 900192.

It is an arithmetic number, because the mean of its divisors is an integer number (7945713360).

Almost surely, 2112121111003 is an apocalyptic number.

112121111003 is a deficient number, since it is larger than the sum of its proper divisors (15010302757).

112121111003 is a wasteful number, since it uses less digits than its factorization.

112121111003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666018.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 112121111003 its reverse (300111121211), we get a palindrome (412232232214).

The spelling of 112121111003 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, three".

Divisors: 1 11 29 211 319 2321 6119 67309 1665767 18323437 48307243 351476837 531379673 3866245207 10192828273 112121111003