Base | Representation |
---|---|
bin | 10000011101101110101… |
… | …110101001001101000000 |
3 | 11000011102120220111220102 |
4 | 100131232232221031000 |
5 | 122014134113320000 |
6 | 2223435035501532 |
7 | 144512664224162 |
oct | 20355656511500 |
9 | 4004376814812 |
10 | 1131434120000 |
11 | 3a6925078668 |
12 | 163342bb78a8 |
13 | 82903307192 |
14 | 3ca94186932 |
15 | 1e67045e3d5 |
hex | 1076eba9340 |
1131434120000 has 140 divisors (see below), whose sum is σ = 2812695352500. Its totient is φ = 451427328000.
The previous prime is 1131434119997. The next prime is 1131434120023. The reversal of 1131434120000 is 214341311.
It can be written as a sum of positive squares in 10 ways, for example, as 480559514176 + 650874605824 = 693224^2 + 806768^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15844376 + ... + 15915624.
Almost surely, 21131434120000 is an apocalyptic number.
1131434120000 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 1131434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406347676250).
1131434120000 is an abundant number, since it is smaller than the sum of its proper divisors (1681261232500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131434120000 is an frugal number, since it uses more digits than its factorization.
1131434120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71678 (or 71653 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 1131434120000 its reverse (214341311), we get a palindrome (1131648461311).
The spelling of 1131434120000 in words is "one trillion, one hundred thirty-one billion, four hundred thirty-four million, one hundred twenty thousand".
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