| Base | Representation |
|---|---|
| bin | 10110111111100000001000… |
| … | …100011011111111101000000 |
| 3 | 111021001001121010222220221200 |
| 4 | 112333200020203133331000 |
| 5 | 101223231002001300142 |
| 6 | 555022140120021200 |
| 7 | 30204512006062410 |
| oct | 2677401043377500 |
| 9 | 437031533886850 |
| 10 | 101120853540672 |
| 11 | 2a2471276769a9 |
| 12 | b411a95301800 |
| 13 | 445686a3a68a4 |
| 14 | 1ad83bdaa6640 |
| 15 | ba55baddc64c |
| hex | 5bf8088dff40 |
101120853540672 has 336 divisors, whose sum is σ = 331931678267904. Its totient is φ = 28832340096000.
The previous prime is 101120853540661. The next prime is 101120853540673. The reversal of 101120853540672 is 276045358021101.
101120853540672 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 0 + 8 + 535 + 40 + 6 + 72 = 666.
101120853540672 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 (336).
It is a super-3 number, since 3×1011208535406723 (a number of 43 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101120853540673) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14023135147 + ... + 14023142357.
Almost surely, 2101120853540672 is an apocalyptic number.
101120853540672 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 101120853540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165965839133952).
101120853540672 is an abundant number, since it is smaller than the sum of its proper divisors (230810824727232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101120853540672 is a wasteful number, since it uses less digits than its factorization.
101120853540672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13898 (or 13885 counting only the distinct ones).
The product of its (nonzero) digits is 403200, while the sum is 45.
The spelling of 101120853540672 in words is "one hundred one trillion, one hundred twenty billion, eight hundred fifty-three million, five hundred forty thousand, six hundred seventy-two".
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