| Base | Representation |
|---|---|
| bin | 10110111110011101010110… |
| … | …000000000000000000000000 |
| 3 | 111020210012111012100000000000 |
| 4 | 112332131112000000000000 |
| 5 | 101221042113413213233 |
| 6 | 554525200000000000 |
| 7 | 30166362564415242 |
| oct | 2676352600000000 |
| 9 | 436705435300000 |
| 10 | 101049138413568 |
| 11 | 2a21977631a514 |
| 12 | b400000000000 |
| 13 | 444cb7b817537 |
| 14 | 1ad4b3938c092 |
| 15 | ba37bee3ad13 |
| hex | 5be756000000 |
101049138413568 has 624 divisors, whose sum is σ = 320979007374480. Its totient is φ = 31701690482688.
The previous prime is 101049138413567. The next prime is 101049138413627. The reversal of 101049138413568 is 865314831940101.
101049138413568 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 9 + 1 + 38 + 41 + 3 + 568 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nialpdrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101049138413567) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5944066965496 + ... + 5944066965512.
It is an arithmetic number, because the mean of its divisors is an integer number (514389434895).
Almost surely, 2101049138413568 is an apocalyptic number.
101049138413568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
101049138413568 is a droll number since its even prime factors and its odd prime factors have the same sum.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101049138413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160489503687240).
101049138413568 is an abundant number, since it is smaller than the sum of its proper divisors (219929868960912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101049138413568 is an frugal number, since it uses more digits than its factorization.
101049138413568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 22 counting only the distinct ones).
The product of its (nonzero) digits is 2488320, while the sum is 54.
The spelling of 101049138413568 in words is "one hundred one trillion, forty-nine billion, one hundred thirty-eight million, four hundred thirteen thousand, five hundred sixty-eight".
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