Base | Representation |
---|---|
bin | 11101110101100010010011… |
… | …001111110100001011000000 |
3 | 122012121201201111020000021220 |
4 | 131311202103033310023000 |
5 | 114144421243133132000 |
6 | 1143030410401315040 |
7 | 36432333125531013 |
oct | 3565422317641300 |
9 | 565551644200256 |
10 | 131222311224000 |
11 | 388a2084800117 |
12 | 1287391a635a80 |
13 | 582b29831c689 |
14 | 245929d91d37a |
15 | 10285d7d8c1a0 |
hex | 7758933f42c0 |
131222311224000 has 224 divisors, whose sum is σ = 445006779312576. Its totient is φ = 34046869708800.
The previous prime is 131222311223999. The next prime is 131222311224049. The reversal of 131222311224000 is 422113222131.
131222311224000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72998437 + ... + 74774436.
Almost surely, 2131222311224000 is an apocalyptic number.
131222311224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131222311224000 is an abundant number, since it is smaller than the sum of its proper divisors (313784468088576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131222311224000 is a wasteful number, since it uses less digits than its factorization.
131222311224000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 147772940 (or 147772920 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 131222311224000 its reverse (422113222131), we get a palindrome (131644424446131).
The spelling of 131222311224000 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred eleven million, two hundred twenty-four thousand".
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