Search a number
-
+
200353010134032 = 24347179145384913
BaseRepresentation
bin101101100011100001010001…
…111111111010110000010000
3222021101120010202110220120000
4231203201101333322300100
5202230040431043242112
61550040522513450000
760126012236043660
oct5543412177726020
9867346122426500
10200353010134032
1158925264034978
121a579909870900
1387a429167c5b2
1437691cd17a1a0
1518269954d97dc
hexb63851ffac10

200353010134032 has 400 divisors, whose sum is σ = 666888551936640. Its totient is φ = 56884073140224.

The previous prime is 200353010133977. The next prime is 200353010134033. The reversal of 200353010134032 is 230431010353002.

200353010134032 is a `hidden beast` number, since 20 + 0 + 3 + 530 + 101 + 3 + 4 + 0 + 3 + 2 = 666.

200353010134032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200353010133987 and 200353010134005.

It is not an unprimeable number, because it can be changed into a prime (200353010134033) 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, 2359466808 + ... + 2359551720.

Almost surely, 2200353010134032 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 200353010134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333444275968320).

200353010134032 is an abundant number, since it is smaller than the sum of its proper divisors (466535541802608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200353010134032 is a wasteful number, since it uses less digits than its factorization.

200353010134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86572 (or 86557 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 200353010134032 its reverse (230431010353002), we get a palindrome (430784020487034).

The spelling of 200353010134032 in words is "two hundred trillion, three hundred fifty-three billion, ten million, one hundred thirty-four thousand, thirty-two".