| Base | Representation |
|---|---|
| bin | 1011101001101101010101… |
| … | …1101011010001000100100 |
| 3 | 1200100201212201120021202100 |
| 4 | 2322123111131122020210 |
| 5 | 3134344240433423100 |
| 6 | 43125212202212100 |
| 7 | 2461401553664214 |
| oct | 272332535321044 |
| 9 | 50321781507670 |
| 10 | 12811173732900 |
| 11 | 409a2086494a4 |
| 12 | 152aa841b4030 |
| 13 | 71c11c58201a |
| 14 | 3240c7d1a244 |
| 15 | 1733ac16d400 |
| hex | ba6d575a224 |
12811173732900 has 243 divisors, whose sum is σ = 40409592711033. Its totient is φ = 3394866009600.
The previous prime is 12811173732887. The next prime is 12811173732901. The reversal of 12811173732900 is 923737111821.
The square root of 12811173732900 is 3579270.
It is a perfect power (a square), and thus also a powerful number.
12811173732900 is a `hidden beast` number, since 1 + 2 + 81 + 117 + 373 + 2 + 90 + 0 = 666.
12811173732900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 13 ways, for example, as 4413604336164 + 8397569396736 = 2100858^2 + 2897856^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (12811173732901) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24589584640 + ... + 24589585160.
Almost surely, 212811173732900 is an apocalyptic number.
12811173732900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
12811173732900 is the 3579270-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12811173732900
12811173732900 is an abundant number, since it is smaller than the sum of its proper divisors (27598418978133).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12811173732900 is an equidigital number, since it uses as much as digits as its factorization.
12811173732900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1520 (or 760 counting only the distinct ones).
The product of its (nonzero) digits is 127008, while the sum is 45.
The spelling of 12811173732900 in words is "twelve trillion, eight hundred eleven billion, one hundred seventy-three million, seven hundred thirty-two thousand, nine hundred".
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