Base | Representation |
---|---|
bin | 11101111000001010101100… |
… | …011010101001010101000000 |
3 | 122020021000102111211012201202 |
4 | 131320022230122221111000 |
5 | 114210402043230320000 |
6 | 1143245432210320332 |
7 | 36451363602015263 |
oct | 3570125432512500 |
9 | 566230374735652 |
10 | 131403122120000 |
11 | 38961829845485 |
12 | 128a297b8890a8 |
13 | 5842351c60433 |
14 | 2463d332bccda |
15 | 102d16b870dd5 |
hex | 7782ac6a9540 |
131403122120000 has 140 divisors (see below), whose sum is σ = 326439377176836. Its totient is φ = 52464084480000.
The previous prime is 131403122119993. The next prime is 131403122120107. The reversal of 131403122120000 is 21221304131.
131403122120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 10 ways, for example, as 79349898516736 + 52053223603264 = 8907856^2 + 7214792^2 .
It is a super-3 number, since 3×1314031221200003 (a number of 43 digits) contains 333 as substring.
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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18603884 + ... + 24676116.
Almost surely, 2131403122120000 is an apocalyptic number.
131403122120000 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 131403122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163219688588418).
131403122120000 is an abundant number, since it is smaller than the sum of its proper divisors (195036255056836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131403122120000 is an frugal number, since it uses more digits than its factorization.
131403122120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6072806 (or 6072781 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 131403122120000 its reverse (21221304131), we get a palindrome (131424343424131).
The spelling of 131403122120000 in words is "one hundred thirty-one trillion, four hundred three billion, one hundred twenty-two million, one hundred twenty thousand".
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