Base | Representation |
---|---|
bin | 10111101010011000… |
… | …01011001100100100 |
3 | 1012210022221220102100 |
4 | 23311030023030210 |
5 | 202004101402400 |
6 | 5500321012100 |
7 | 626543225502 |
oct | 136514131444 |
9 | 35708856370 |
10 | 12703544100 |
11 | 5429901785 |
12 | 2566484030 |
13 | 1275b45100 |
14 | 887239672 |
15 | 4e53e3100 |
hex | 2f530b324 |
12703544100 has 405 divisors, whose sum is σ = 45811920063. Its totient is φ = 2943083520.
The previous prime is 12703544093. The next prime is 12703544101. The reversal of 12703544100 is 144530721.
The square root of 12703544100 is 112710.
It is a perfect power (a square), and thus also a powerful number.
12703544100 is a `hidden beast` number, since 1 + 270 + 354 + 41 + 0 + 0 = 666.
It can be written as a sum of positive squares in 22 ways, for example, as 12660300324 + 43243776 = 112518^2 + 6576^2 .
It is a super-2 number, since 2×127035441002 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (12703544101) by changing a digit.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 747267292 + ... + 747267308.
Almost surely, 212703544100 is an apocalyptic number.
12703544100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
12703544100 is the 112710-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12703544100
12703544100 is an abundant number, since it is smaller than the sum of its proper divisors (33108375963).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12703544100 is a wasteful number, since it uses less digits than its factorization.
12703544100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114 (or 40 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 27.
The spelling of 12703544100 in words is "twelve billion, seven hundred three million, five hundred forty-four thousand, one hundred".
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