| Base | Representation |
|---|---|
| bin | 10010111010101110110… |
| … | …000001110101011010000 |
| 3 | 11121021120001221012212200 |
| 4 | 102322232300032223100 |
| 5 | 132244411033031000 |
| 6 | 2433114532523200 |
| 7 | 162631336456545 |
| oct | 22725660165320 |
| 9 | 4537501835780 |
| 10 | 1300012002000 |
| 11 | 46137197a4a8 |
| 12 | 18bb4b480500 |
| 13 | 9578a73a30a |
| 14 | 46cc6dd0bcc |
| 15 | 23c39ee6500 |
| hex | 12eaec0ead0 |
1300012002000 has 240 divisors, whose sum is σ = 4541629836432. Its totient is φ = 346584268800.
The previous prime is 1300012001993. The next prime is 1300012002007. The reversal of 1300012002000 is 2002100031.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1300012001993) and next prime (1300012002007).
It can be written as a sum of positive squares in 8 ways, for example, as 368779281984 + 931232720016 = 607272^2 + 965004^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×13000120020003 (a number of 37 digits) contains 333 as substring.
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 (1300012002007) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111900192 + ... + 111911808.
Almost surely, 21300012002000 is an apocalyptic number.
1300012002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1300012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270814918216).
1300012002000 is an abundant number, since it is smaller than the sum of its proper divisors (3241617834432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1300012002000 is a wasteful number, since it uses less digits than its factorization.
1300012002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17863 (or 17844 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 1300012002000 its reverse (2002100031), we get a palindrome (1302014102031).
The spelling of 1300012002000 in words is "one trillion, three hundred billion, twelve million, two thousand".
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