Search a number
-
+
2000313123012 = 223255564253417
BaseRepresentation
bin11101000110111011111…
…101000000000011000100
321002020011021001010222200
4131012323331000003010
5230233120124414022
64130533044154500
7264342424002111
oct35067375000304
97066137033880
102000313123012
11701367678836
12283810998a30
131168233a8369
146cb5c2bb908
153707572ebac
hex1d1bbf400c4

2000313123012 has 18 divisors (see below), whose sum is σ = 5056347061038. Its totient is φ = 666771040992.

The previous prime is 2000313123001. The next prime is 2000313123013. The reversal of 2000313123012 is 2103213130002.

2000313123012 is a `hidden beast` number, since 20 + 0 + 0 + 31 + 312 + 301 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1775119216896 + 225193906116 = 1332336^2 + 474546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000313123013) 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 5 ways as a sum of consecutive naturals, for example, 27782126673 + ... + 27782126744.

Almost surely, 22000313123012 is an apocalyptic number.

It is an amenable number.

2000313123012 is an abundant number, since it is smaller than the sum of its proper divisors (3056033938026).

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

2000313123012 is a wasteful number, since it uses less digits than its factorization.

2000313123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55564253427 (or 55564253422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2000313123012 its reverse (2103213130002), we get a palindrome (4103526253014).

The spelling of 2000313123012 in words is "two trillion, three hundred thirteen million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 55564253417 111128506834 166692760251 222257013668 333385520502 500078280753 666771041004 1000156561506 2000313123012