Base | Representation |
---|---|
bin | 111110000110111111… |
… | …0000000010010100100 |
3 | 110202021100212220111101 |
4 | 1330031332000102210 |
5 | 4141124324002400 |
6 | 141135000445444 |
7 | 12431145135031 |
oct | 1741576002244 |
9 | 422240786441 |
10 | 133378344100 |
11 | 51624664051 |
12 | 21a24179884 |
13 | c767a87601 |
14 | 665403a388 |
15 | 370973e56a |
hex | 1f0df804a4 |
133378344100 has 81 divisors (see below), whose sum is σ = 294896169057. Its totient is φ = 52362348960.
The previous prime is 133378344089. The next prime is 133378344103. The reversal of 133378344100 is 1443873331.
The square root of 133378344100 is 365210.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 48016203876 + 85362140224 = 219126^2 + 292168^2 .
It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 133378344100.
It is not an unprimeable number, because it can be changed into a prime (133378344103) 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 26 ways as a sum of consecutive naturals, for example, 215473591 + ... + 215474209.
Almost surely, 2133378344100 is an apocalyptic number.
133378344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
133378344100 is the 365210-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 133378344100
133378344100 is an abundant number, since it is smaller than the sum of its proper divisors (161517824957).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133378344100 is an frugal number, since it uses more digits than its factorization.
133378344100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1370 (or 685 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 37.
The spelling of 133378344100 in words is "one hundred thirty-three billion, three hundred seventy-eight million, three hundred forty-four thousand, one hundred".
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