Base | Representation |
---|---|
bin | 10010111011101001101… |
… | …101000100100101110000 |
3 | 11121101002222222001020100 |
4 | 102323221231010211300 |
5 | 132303422230430000 |
6 | 2433401023112400 |
7 | 162665006202240 |
oct | 22735155044560 |
9 | 4541088861210 |
10 | 1301001030000 |
11 | 46182a189911 |
12 | 190186742700 |
13 | 958b7605399 |
14 | 46d7c4c3b20 |
15 | 23c96c5ba00 |
hex | 12ee9b44970 |
1301001030000 has 600 divisors, whose sum is σ = 5340388003808. Its totient is φ = 289329408000.
The previous prime is 1301001029981. The next prime is 1301001030023. The reversal of 1301001030000 is 301001031.
It is a tau number, because it is divible by the number of its divisors (600).
It is a super-2 number, since 2×13010010300002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23282094 + ... + 23337906.
Almost surely, 21301001030000 is an apocalyptic number.
1301001030000 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 1301001030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670194001904).
1301001030000 is an abundant number, since it is smaller than the sum of its proper divisors (4039386973808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1301001030000 is a wasteful number, since it uses less digits than its factorization.
1301001030000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55891 (or 55867 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
Adding to 1301001030000 its reverse (301001031), we get a palindrome (1301302031031).
The spelling of 1301001030000 in words is "one trillion, three hundred one billion, one million, thirty thousand".
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