Search a number
-
+
2002112002021 = 79235110779749
BaseRepresentation
bin11101001000100111001…
…011001011011111100101
321002101210121221200002011
4131020213023023133211
5230300311133031041
64131431344314221
7264435126140245
oct35104713133745
97071717850064
102002112002021
117021000371aa
12284033312971
13116a4bc95101
146cc8d181b25
153712d615e81
hex1d2272cb7e5

2002112002021 has 8 divisors (see below), whose sum is σ = 2028317760000. Its totient is φ = 1975927808400.

The previous prime is 2002112001943. The next prime is 2002112002049. The reversal of 2002112002021 is 1202002112002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002112002021 - 213 = 2002111993829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002112001992 and 2002112002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002112008021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5204146 + ... + 5575603.

It is an arithmetic number, because the mean of its divisors is an integer number (253539720000).

Almost surely, 22002112002021 is an apocalyptic number.

It is an amenable number.

2002112002021 is a deficient number, since it is larger than the sum of its proper divisors (26205757979).

2002112002021 is a wasteful number, since it uses less digits than its factorization.

2002112002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782179.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002112002021 its reverse (1202002112002), we get a palindrome (3204114114023).

The spelling of 2002112002021 in words is "two trillion, two billion, one hundred twelve million, two thousand, twenty-one".

Divisors: 1 79 2351 185729 10779749 851600171 25343189899 2002112002021