Search a number
-
+
130121321204000 = 25537235315125247
BaseRepresentation
bin11101100101100000111011…
…001000001100100100100000
3122001201110212121021000102202
4131211200323020030210200
5114023401431212012000
61140424524300232332
736256645433006540
oct3545407310144440
9561643777230382
10130121321204000
1138508162622485
121271647323b6a8
13577b5073bc969
14241bc96b85320
151009b4a52bdd5
hex76583b20c920

130121321204000 has 768 divisors, whose sum is σ = 391048573353984. Its totient is φ = 41589250560000.

The previous prime is 130121321203981. The next prime is 130121321204009. The reversal of 130121321204000 is 402123121031.

130121321204000 is digitally balanced in base 3, 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 (20).

It is not an unprimeable number, because it can be changed into a prime (130121321204009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5153919377 + ... + 5153944623.

It is an arithmetic number, because the mean of its divisors is an integer number (509177829888).

Almost surely, 2130121321204000 is an apocalyptic number.

130121321204000 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 130121321204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195524286676992).

130121321204000 is an abundant number, since it is smaller than the sum of its proper divisors (260927252149984).

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

130121321204000 is a wasteful number, since it uses less digits than its factorization.

130121321204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25506 (or 25488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 130121321204000 its reverse (402123121031), we get a palindrome (130523444325031).

The spelling of 130121321204000 in words is "one hundred thirty trillion, one hundred twenty-one billion, three hundred twenty-one million, two hundred four thousand".