Base | Representation |
---|---|
bin | 11110000010101010010110… |
… | …100100001100011100100000 |
3 | 122022210221221100002222001020 |
4 | 132002222112210030130200 |
5 | 114304211041331430422 |
6 | 1145001023050205440 |
7 | 36554444400061431 |
oct | 3602522644143440 |
9 | 568727840088036 |
10 | 132124310030112 |
11 | 3910a6725a1594 |
12 | 1299a6b0123880 |
13 | 5895365c2559a |
14 | 248abca56d488 |
15 | 1041ccaae295c |
hex | 782a9690c720 |
132124310030112 has 96 divisors (see below), whose sum is σ = 351985346657280. Its totient is φ = 43387288439040.
The previous prime is 132124310030101. The next prime is 132124310030201. The reversal of 132124310030112 is 211030013421231.
It is a tau number, because it is divible by the number of its divisors (96).
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 (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190589 + ... + 16299267.
It is an arithmetic number, because the mean of its divisors is an integer number (3666514027680).
Almost surely, 2132124310030112 is an apocalyptic number.
132124310030112 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 132124310030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175992673328640).
132124310030112 is an abundant number, since it is smaller than the sum of its proper divisors (219861036627168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132124310030112 is a wasteful number, since it uses less digits than its factorization.
132124310030112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15110046 (or 15110038 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
Adding to 132124310030112 its reverse (211030013421231), we get a palindrome (343154323451343).
The spelling of 132124310030112 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred ten million, thirty thousand, one hundred twelve".
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