Search a number
-
+
1112000021 = 11237360209
BaseRepresentation
bin100001001000111…
…1100011000010101
32212111102110020222
41002101330120111
54234133000041
6302202004125
736361562366
oct10221743025
92774373228
101112000021
11520771090
122704a6645
131494c29a2
14a7983b6d
156795674b
hex4247c615

1112000021 has 16 divisors (see below), whose sum is σ = 1283195520. Its totient is φ = 953694720.

The previous prime is 1112000009. The next prime is 1112000027. The reversal of 1112000021 is 1200002111.

It is not a de Polignac number, because 1112000021 - 26 = 1111999957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1111999972 and 1112000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112000027) 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 15 ways as a sum of consecutive naturals, for example, 11636 + ... + 48573.

It is an arithmetic number, because the mean of its divisors is an integer number (80199720).

Almost surely, 21112000021 is an apocalyptic number.

1112000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1112000021 is a deficient number, since it is larger than the sum of its proper divisors (171195499).

1112000021 is a wasteful number, since it uses less digits than its factorization.

1112000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60316.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1112000021 is about 33346.6643159402. The cubic root of 1112000021 is about 1036.0202999978.

Adding to 1112000021 its reverse (1200002111), we get a palindrome (2312002132).

It can be divided in two parts, 11 and 12000021, that multiplied together give a palindrome (132000231).

The spelling of 1112000021 in words is "one billion, one hundred twelve million, twenty-one", and thus it is an aban number.

Divisors: 1 11 23 73 253 803 1679 18469 60209 662299 1384807 4395257 15232877 48347827 101090911 1112000021