| Base | Representation |
|---|---|
| bin | 1001010010100011011011… |
| … | …0100111100110011100100 |
| 3 | 1100011111000202111011000000 |
| 4 | 2110220312310330303210 |
| 5 | 2314322443113030400 |
| 6 | 33420224130021300 |
| 7 | 2102651111066400 |
| oct | 224506664746344 |
| 9 | 40144022434000 |
| 10 | 10214352080100 |
| 11 | 3288978509443 |
| 12 | 118b739a17830 |
| 13 | 5912949ba48c |
| 14 | 27453d376100 |
| 15 | 12aa73395600 |
| hex | 94a36d3cce4 |
10214352080100 has 1701 divisors, whose sum is σ = 41263537673547. Its totient is φ = 2186977605120.
The previous prime is 10214352080089. The next prime is 10214352080159. The reversal of 10214352080100 is 108025341201.
The square root of 10214352080100 is 3195990.
It is a perfect power (a square), and thus also a powerful number.
10214352080100 is a `hidden beast` number, since 1 + 0 + 21 + 43 + 520 + 80 + 1 + 0 + 0 = 666.
10214352080100 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 4 ways, for example, as 2125606538916 + 8088745541184 = 1457946^2 + 2844072^2 .
It is a tau number, because it is divible by the number of its divisors (1701).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 114768000856 + ... + 114768000944.
Almost surely, 210214352080100 is an apocalyptic number.
10214352080100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10214352080100 is the 3195990-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10214352080100
10214352080100 is an abundant number, since it is smaller than the sum of its proper divisors (31049185593447).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10214352080100 is an equidigital number, since it uses as much as digits as its factorization.
10214352080100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 262 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The spelling of 10214352080100 in words is "ten trillion, two hundred fourteen billion, three hundred fifty-two million, eighty thousand, one hundred".
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