| Base | Representation |
|---|---|
| bin | 10111000101011000110100… |
| … | …010101111110101110000000 |
| 3 | 111022110201120202211000012022 |
| 4 | 113011120310111332232000 |
| 5 | 101301342321132320000 |
| 6 | 555532030315221012 |
| 7 | 30245650644554342 |
| oct | 2705306425765600 |
| 9 | 438421522730168 |
| 10 | 101525315120000 |
| 11 | 2a39270a697942 |
| 12 | b478352747768 |
| 13 | 4485a471589a5 |
| 14 | 1b0dbcc613292 |
| 15 | bb0d8e335585 |
| hex | 5c563457eb80 |
101525315120000 has 640 divisors, whose sum is σ = 274423130863200. Its totient is φ = 37251809280000.
The previous prime is 101525315119993. The next prime is 101525315120011. The reversal of 101525315120000 is 21513525101.
101525315120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1015253151200002 (a number of 29 digits) contains 22 as substring.
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 79 ways as a sum of consecutive naturals, for example, 31637678396 + ... + 31637681604.
Almost surely, 2101525315120000 is an apocalyptic number.
101525315120000 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 101525315120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137211565431600).
101525315120000 is an abundant number, since it is smaller than the sum of its proper divisors (172897815743200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101525315120000 is an equidigital number, since it uses as much as digits as its factorization.
101525315120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3844 (or 3817 counting only the distinct ones).
The product of its (nonzero) digits is 1500, while the sum is 26.
Adding to 101525315120000 its reverse (21513525101), we get a palindrome (101546828645101).
The spelling of 101525315120000 in words is "one hundred one trillion, five hundred twenty-five billion, three hundred fifteen million, one hundred twenty thousand".
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