Search a number
-
+
1000023021 = 32111113669
BaseRepresentation
bin111011100110110…
…010001111101101
32120200201102200200
4323212302033231
54022001214041
6243121544113
733532025004
oct7346621755
92520642620
101000023021
1147353a108
1223aaa5039
1312c2477ca
1496b55c3b
155cbd81b6
hex3b9b23ed

1000023021 has 6 divisors (see below), whose sum is σ = 1444477710. Its totient is φ = 666682008.

The previous prime is 1000022971. The next prime is 1000023041. The reversal of 1000023021 is 1203200001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 592386921 + 407636100 = 24339^2 + 20190^2 .

It is not a de Polignac number, because 1000023021 - 225 = 966468589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111113669 = 1000023021 / (1 + 0 + 0 + 0 + 0 + 2 + 3 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1000022994 and 1000023012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000023041) 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 5 ways as a sum of consecutive naturals, for example, 55556826 + ... + 55556843.

It is an arithmetic number, because the mean of its divisors is an integer number (240746285).

Almost surely, 21000023021 is an apocalyptic number.

It is an amenable number.

1000023021 is a deficient number, since it is larger than the sum of its proper divisors (444454689).

1000023021 is a wasteful number, since it uses less digits than its factorization.

1000023021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111113675 (or 111113672 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000023021 is about 31623.1405935590. The cubic root of 1000023021 is about 1000.0076736078.

Adding to 1000023021 its reverse (1203200001), we get a palindrome (2203223022).

The spelling of 1000023021 in words is "one billion, twenty-three thousand, twenty-one".

Divisors: 1 3 9 111113669 333341007 1000023021