Search a number
-
+
12310003002000 = 2435311216955927
BaseRepresentation
bin1011001100100010010101…
…0110110010101010010000
31121120211021021102021122010
42303020211112302222100
53103141341232031000
642103045354142520
72410240231032114
oct263104526625220
947524237367563
1012310003002000
113a16708856600
121469917121a40
136b3a9ca1a192
14307b43425744
15165328881d50
hexb32255b2a90

12310003002000 has 240 divisors, whose sum is σ = 43623397673856. Its totient is φ = 2984242976000.

The previous prime is 12310003001977. The next prime is 12310003002013. The reversal of 12310003002000 is 20030001321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7751964 + ... + 9203963.

Almost surely, 212310003002000 is an apocalyptic number.

12310003002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310003002000 is an abundant number, since it is smaller than the sum of its proper divisors (31313394671856).

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

12310003002000 is a wasteful number, since it uses less digits than its factorization.

12310003002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16955975 (or 16955948 counting only the distinct ones).

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

Adding to 12310003002000 its reverse (20030001321), we get a palindrome (12330033003321).

The spelling of 12310003002000 in words is "twelve trillion, three hundred ten billion, three million, two thousand".