Search a number
-
+
1002023113 = 71311011243
BaseRepresentation
bin111011101110011…
…010100011001001
32120211111001022011
4323232122203021
54023004214423
6243232455521
733555025120
oct7356324311
92524431264
101002023113
11474685883
1223b6aa5a1
1312c797cb0
1497116ab7
155ce80b0d
hex3bb9a8c9

1002023113 has 8 divisors (see below), whose sum is σ = 1233259328. Its totient is φ = 792809424.

The previous prime is 1002023101. The next prime is 1002023119. The reversal of 1002023113 is 3113202001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002023113 - 213 = 1002014921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1002023093 and 1002023102.

It is not an unprimeable number, because it can be changed into a prime (1002023119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5505531 + ... + 5505712.

It is an arithmetic number, because the mean of its divisors is an integer number (154157416).

Almost surely, 21002023113 is an apocalyptic number.

1002023113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002023113 is a deficient number, since it is larger than the sum of its proper divisors (231236215).

1002023113 is a wasteful number, since it uses less digits than its factorization.

1002023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011263.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1002023113 is about 31654.7486643000. The cubic root of 1002023113 is about 1000.6739167342.

Adding to 1002023113 its reverse (3113202001), we get a palindrome (4115225114).

It can be divided in two parts, 10020 and 23113, that added together give a palindrome (33133).

The spelling of 1002023113 in words is "one billion, two million, twenty-three thousand, one hundred thirteen".

Divisors: 1 7 13 91 11011243 77078701 143146159 1002023113