Base | Representation |
---|---|
bin | 100100101011111… |
… | …1001100110010000 |
3 | 10011210100101021200 |
4 | 1021113321212100 |
5 | 10010114031000 |
6 | 322052351200 |
7 | 42335226054 |
oct | 11127714620 |
9 | 3153311250 |
10 | 1231002000 |
11 | 581961028 |
12 | 2a4315500 |
13 | 16805a567 |
14 | b96bdc64 |
15 | 73111500 |
hex | 495f9990 |
1231002000 has 120 divisors (see below), whose sum is σ = 4299542520. Its totient is φ = 328262400.
The previous prime is 1231001953. The next prime is 1231002007. The reversal of 1231002000 is 2001321.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 1228642704 = 1536^2 + 35052^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1231002007) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16195 + ... + 52194.
It is an arithmetic number, because the mean of its divisors is an integer number (35829521).
Almost surely, 21231002000 is an apocalyptic number.
1231002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1231002000 is an abundant number, since it is smaller than the sum of its proper divisors (3068540520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1231002000 is a wasteful number, since it uses less digits than its factorization.
1231002000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68418 (or 68399 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1231002000 is about 35085.6380873998. The cubic root of 1231002000 is about 1071.7321349368.
Adding to 1231002000 its reverse (2001321), we get a palindrome (1233003321).
The spelling of 1231002000 in words is "one billion, two hundred thirty-one million, two thousand".
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