Search a number
-
+
130300120020000 = 2535471283241807
BaseRepresentation
bin11101101000000111011100…
…010111100011010000100000
3122002100120101101202222000010
4131220013130113203100200
5114034314121211120000
61141043014311324520
736305605304610510
oct3550073427432040
9562316341688003
10130300120020000
1138576a7491a307
1212745052680740
135792330216b38
1424267b9223840
15100e612563d50
hex7681dc5e3420

130300120020000 has 480 divisors, whose sum is σ = 488851835738112. Its totient is φ = 29759548032000.

The previous prime is 130300120019999. The next prime is 130300120020017. The reversal of 130300120020000 is 20021003031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 538739097 + ... + 538980903.

Almost surely, 2130300120020000 is an apocalyptic number.

130300120020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130300120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244425917869056).

130300120020000 is an abundant number, since it is smaller than the sum of its proper divisors (358551715718112).

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

130300120020000 is a wasteful number, since it uses less digits than its factorization.

130300120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243130 (or 243107 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130300120020000 its reverse (20021003031), we get a palindrome (130320141023031).

The spelling of 130300120020000 in words is "one hundred thirty trillion, three hundred billion, one hundred twenty million, twenty thousand".