Base | Representation |
---|---|
bin | 10010101001100100… |
… | …00001000001010000 |
3 | 221211202222011121021 |
4 | 21110302001001100 |
5 | 131001124111422 |
6 | 4333303005224 |
7 | 503054263426 |
oct | 112462010120 |
9 | 27752864537 |
10 | 10012332112 |
11 | 4278778342 |
12 | 1b35139814 |
13 | c37417693 |
14 | 6ada53116 |
15 | 3d8ee6dc7 |
hex | 254c81050 |
10012332112 has 120 divisors (see below), whose sum is σ = 21057501192. Its totient is φ = 4609612800.
The previous prime is 10012332103. The next prime is 10012332179. The reversal of 10012332112 is 21123321001.
It can be written as a sum of positive squares in 4 ways, for example, as 1216893456 + 8795438656 = 34884^2 + 93784^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55316662 + ... + 55316842.
Almost surely, 210012332112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10012332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528750596).
10012332112 is an abundant number, since it is smaller than the sum of its proper divisors (11045169080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10012332112 is a wasteful number, since it uses less digits than its factorization.
10012332112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 445 (or 420 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 10012332112 its reverse (21123321001), we get a palindrome (31135653113).
The spelling of 10012332112 in words is "ten billion, twelve million, three hundred thirty-two thousand, one hundred twelve".
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