Search a number
-
+
965130201000 = 233353741592111
BaseRepresentation
bin11100000101101100011…
…11100010011110101000
310102021011120202002202000
432002312033202132220
5111303041312413000
62015212533411000
7126504553231320
oct16026617423650
93367146662660
10965130201000
11342344923899
12137070199a60
137001c030c94
14349d9350280
151a18a354000
hexe0b63e27a8

965130201000 has 1024 divisors, whose sum is σ = 3985293312000. Its totient is φ = 211472640000.

The previous prime is 965130200989. The next prime is 965130201017. The reversal of 965130201000 is 102031569.

965130201000 is a `hidden beast` number, since 9 + 651 + 3 + 0 + 2 + 0 + 1 + 0 + 0 + 0 = 666.

965130201000 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 457189945 + ... + 457192055.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888000).

Almost surely, 2965130201000 is an apocalyptic number.

965130201000 is a gapful number since it is divisible by the number (90) 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 965130201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992646656000).

965130201000 is an abundant number, since it is smaller than the sum of its proper divisors (3020163111000).

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

965130201000 is a wasteful number, since it uses less digits than its factorization.

965130201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 965130201000 its reverse (102031569), we get a palindrome (965232232569).

The spelling of 965130201000 in words is "nine hundred sixty-five billion, one hundred thirty million, two hundred one thousand".