Base | Representation |
---|---|
bin | 111011101110110… |
… | …000000001111110 |
3 | 2120211122112000000 |
4 | 323232300001332 |
5 | 4023020023402 |
6 | 243234415130 |
7 | 33555542466 |
oct | 7356600176 |
9 | 2524575000 |
10 | 1002111102 |
11 | 4747359a3 |
12 | 23b7314a6 |
13 | 12c7c9065 |
14 | 9713aba6 |
15 | 5ce9bc1c |
hex | 3bbb007e |
1002111102 has 56 divisors (see below), whose sum is σ = 2275940784. Its totient is φ = 330744384.
The previous prime is 1002111083. The next prime is 1002111107. The reversal of 1002111102 is 2011112001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1002111107) 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 27 ways as a sum of consecutive naturals, for example, 146838 + ... + 153510.
Almost surely, 21002111102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1002111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137970392).
1002111102 is an abundant number, since it is smaller than the sum of its proper divisors (1273829682).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002111102 is an equidigital number, since it uses as much as digits as its factorization.
1002111102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6796 (or 6781 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 1002111102 is about 31656.1384568617. The cubic root of 1002111102 is about 1000.7032060520.
Adding to 1002111102 its reverse (2011112001), we get a palindrome (3013223103).
The spelling of 1002111102 in words is "one billion, two million, one hundred eleven thousand, one hundred two".
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