Base | Representation |
---|---|
bin | 1100001100100… |
… | …10100001000001 |
3 | 21010111222200101 |
4 | 12012102201001 |
5 | 202142441001 |
6 | 14052522401 |
7 | 2351431501 |
oct | 606224101 |
9 | 233458611 |
10 | 102312001 |
11 | 52830580 |
12 | 2a320401 |
13 | 18272c5c |
14 | d833a01 |
15 | 8eaea01 |
hex | 6192841 |
102312001 has 16 divisors (see below), whose sum is σ = 118784448. Its totient is φ = 87091200.
The previous prime is 102311999. The next prime is 102312043. The reversal of 102312001 is 100213201.
It is a 3-Lehmer number, since φ(102312001) divides (102312001-1)3.
It is a cyclic number.
It is not a de Polignac number, because 102312001 - 21 = 102311999 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (102312401) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38161 + ... + 40753.
It is an arithmetic number, because the mean of its divisors is an integer number (7424028).
Almost surely, 2102312001 is an apocalyptic number.
102312001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
102312001 is a deficient number, since it is larger than the sum of its proper divisors (16472447).
102312001 is a wasteful number, since it uses less digits than its factorization.
102312001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2832.
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 102312001 is about 10114.9394956174. The cubic root of 102312001 is about 467.7087837494.
Adding to 102312001 its reverse (100213201), we get a palindrome (202525202).
The spelling of 102312001 in words is "one hundred two million, three hundred twelve thousand, one".
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