Base | Representation |
---|---|
bin | 11101111011000110… |
… | …101110000001110000 |
3 | 10001221012111201110000 |
4 | 131323012232001300 |
5 | 1011300303130112 |
6 | 22432124110000 |
7 | 2215133412330 |
oct | 357306560160 |
9 | 101835451400 |
10 | 32130130032 |
11 | 12698691280 |
12 | 6288395300 |
13 | 30507a2180 |
14 | 17ab2d90c0 |
15 | c80b437dc |
hex | 77b1ae070 |
32130130032 has 400 divisors, whose sum is σ = 124864008192. Its totient is φ = 7703216640.
The previous prime is 32130130003. The next prime is 32130130037. The reversal of 32130130032 is 23003103123.
32130130032 is a `hidden beast` number, since 32 + 1 + 301 + 300 + 32 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 32130129987 and 32130130014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (32130130037) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1284913 + ... + 1309679.
Almost surely, 232130130032 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 32130130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62432004096).
32130130032 is an abundant number, since it is smaller than the sum of its proper divisors (92733878160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32130130032 is a wasteful number, since it uses less digits than its factorization.
32130130032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24818 (or 24803 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 32130130032 its reverse (23003103123), we get a palindrome (55133233155).
The spelling of 32130130032 in words is "thirty-two billion, one hundred thirty million, one hundred thirty thousand, thirty-two".
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