Base | Representation |
---|---|
bin | 10010101111111111… |
… | …000000110000000100 |
3 | 1220222001122220002100 |
4 | 102233333000300010 |
5 | 312212343301012 |
6 | 13125415112100 |
7 | 1311620402055 |
oct | 225777006004 |
9 | 56861586070 |
10 | 20132400132 |
11 | 85a1240219 |
12 | 3a9a372630 |
13 | 1b8ac53a00 |
14 | d8db0c72c |
15 | 7cc6c08dc |
hex | 4affc0c04 |
20132400132 has 108 divisors (see below), whose sum is σ = 55804869120. Its totient is φ = 6116026176.
The previous prime is 20132400121. The next prime is 20132400137. The reversal of 20132400132 is 23100423102.
20132400132 is a `hidden beast` number, since 2 + 0 + 132 + 400 + 132 = 666.
It is a super-4 number, since 4×201324001324 (a number of 42 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (20132400137) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459693 + ... + 501579.
Almost surely, 220132400132 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 20132400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27902434560).
20132400132 is an abundant number, since it is smaller than the sum of its proper divisors (35672468988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20132400132 is a wasteful number, since it uses less digits than its factorization.
20132400132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42002 (or 41984 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 20132400132 its reverse (23100423102), we get a palindrome (43232823234).
The spelling of 20132400132 in words is "twenty billion, one hundred thirty-two million, four hundred thousand, one hundred thirty-two".
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