Base | Representation |
---|---|
bin | 10011011111010100… |
… | …00110111101000100 |
3 | 1000000012102212120021 |
4 | 21233222012331010 |
5 | 132412042302400 |
6 | 4450131344524 |
7 | 520201051561 |
oct | 115752067504 |
9 | 30005385507 |
10 | 10463244100 |
11 | 448a257181 |
12 | 2040152144 |
13 | ca99734ca |
14 | 7138ab868 |
15 | 4138b571a |
hex | 26fa86f44 |
10463244100 has 81 divisors (see below), whose sum is σ = 23262250053. Its totient is φ = 4085053440.
The previous prime is 10463244073. The next prime is 10463244101. The reversal of 10463244100 is 144236401.
The square root of 10463244100 is 102290.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 7112223556 + 3351020544 = 84334^2 + 57888^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (10463244101) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54213604 + ... + 54213796.
Almost surely, 210463244100 is an apocalyptic number.
10463244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10463244100 is the 102290-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10463244100
10463244100 is an abundant number, since it is smaller than the sum of its proper divisors (12799005953).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10463244100 is an equidigital number, since it uses as much as digits as its factorization.
10463244100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 506 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 25.
Multiplying 10463244100 by its sum of digits (25), we get a square (261581102500 = 5114502).
10463244100 divided by its sum of digits (25) gives a square (418529764 = 204582).
Multiplying 10463244100 by its product of nonzero digits (2304), we get a square (24107314406400 = 49099202).
The spelling of 10463244100 in words is "ten billion, four hundred sixty-three million, two hundred forty-four thousand, one hundred".
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