| Base | Representation |
|---|---|
| bin | 11111101110010111000… |
| … | …000000000010110000100 |
| 3 | 21201102011122111010102100 |
| 4 | 133232113000000112010 |
| 5 | 241204301413430400 |
| 6 | 4345303222312100 |
| 7 | 313335313244100 |
| oct | 37562700002604 |
| 9 | 7642148433370 |
| 10 | 2180081780100 |
| 11 | 77062736a624 |
| 12 | 2b2620b88630 |
| 13 | 12a7721102c3 |
| 14 | 77733496900 |
| 15 | 3ba9798c100 |
| hex | 1fb97000584 |
2180081780100 has 729 divisors, whose sum is σ = 8142363072207. Its totient is φ = 486468702720.
The previous prime is 2180081780059. The next prime is 2180081780101. The reversal of 2180081780100 is 10871800812.
The square root of 2180081780100 is 1476510.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 453674990916 + 1726406789184 = 673554^2 + 1313928^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2180081780101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 24495300856 + ... + 24495300944.
Almost surely, 22180081780100 is an apocalyptic number.
2180081780100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2180081780100 is the 1476510-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2180081780100
2180081780100 is an abundant number, since it is smaller than the sum of its proper divisors (5962281292107).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2180081780100 is a wasteful number, since it uses less digits than its factorization.
2180081780100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 370 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 7168, while the sum is 36.
Multiplying 2180081780100 by its sum of digits (36), we get a square (78482944083600 = 88590602).
2180081780100 divided by its sum of digits (36) gives a square (60557827225 = 2460852).
The spelling of 2180081780100 in words is "two trillion, one hundred eighty billion, eighty-one million, seven hundred eighty thousand, one hundred".
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