Base | Representation |
---|---|
bin | 11101100111000111010001… |
… | …101110111000110001100100 |
3 | 122002002222112210012120020000 |
4 | 131213013101232320301210 |
5 | 114032202020330030312 |
6 | 1140551221510141300 |
7 | 36300616042214226 |
oct | 3547072156706144 |
9 | 562088483176200 |
10 | 130231222111332 |
11 | 3854a829840821 |
12 | 12733824951830 |
13 | 57889a0203044 |
14 | 2423320b32416 |
15 | 100c92da9dadc |
hex | 7671d1bb8c64 |
130231222111332 has 240 divisors, whose sum is σ = 363367543714560. Its totient is φ = 40529675289600.
The previous prime is 130231222111303. The next prime is 130231222111387. The reversal of 130231222111332 is 233111222132031.
130231222111332 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 312 + 2 + 2 + 1 + 11 + 332 = 666.
It is a super-3 number, since 3×1302312221113323 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 130231222111296 and 130231222111305.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 942399282 + ... + 942537462.
It is an arithmetic number, because the mean of its divisors is an integer number (1514031432144).
Almost surely, 2130231222111332 is an apocalyptic number.
130231222111332 is a gapful number since it is divisible by the number (12) 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 130231222111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181683771857280).
130231222111332 is an abundant number, since it is smaller than the sum of its proper divisors (233136321603228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130231222111332 is a wasteful number, since it uses less digits than its factorization.
130231222111332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 139584 (or 139573 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 130231222111332 its reverse (233111222132031), we get a palindrome (363342444243363).
The spelling of 130231222111332 in words is "one hundred thirty trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred eleven thousand, three hundred thirty-two".
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