Base | Representation |
---|---|
bin | 10111000100010111011101… |
… | …010011010010011111000000 |
3 | 111022020000102211010210002110 |
4 | 113010113131103102133000 |
5 | 101244220104120220000 |
6 | 555435502402415320 |
7 | 30240614555241420 |
oct | 2704273523223700 |
9 | 438200384123073 |
10 | 101455135320000 |
11 | 2a365976a5a430 |
12 | b466827661540 |
13 | 447c2416aa507 |
14 | 1b0a651b96480 |
15 | bae13305a850 |
hex | 5c45dd4d27c0 |
101455135320000 has 2240 divisors, whose sum is σ = 437674619289600. Its totient is φ = 20105564160000.
The previous prime is 101455135319981. The next prime is 101455135320017. The reversal of 101455135320000 is 23531554101.
It is a tau number, because it is divible by the number of its divisors (2240).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a self number, because there is not a number n which added to its sum of digits gives 101455135320000.
It is a congruent number.
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 319 ways as a sum of consecutive naturals, for example, 120923879581 + ... + 120923880419.
It is an arithmetic number, because the mean of its divisors is an integer number (195390455040).
Almost surely, 2101455135320000 is an apocalyptic number.
101455135320000 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 101455135320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218837309644800).
101455135320000 is an abundant number, since it is smaller than the sum of its proper divisors (336219483969600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101455135320000 is a wasteful number, since it uses less digits than its factorization.
101455135320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1484 (or 1459 counting only the distinct ones).
The product of its (nonzero) digits is 9000, while the sum is 30.
Adding to 101455135320000 its reverse (23531554101), we get a palindrome (101478666874101).
The spelling of 101455135320000 in words is "one hundred one trillion, four hundred fifty-five billion, one hundred thirty-five million, three hundred twenty thousand".
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