Search a number
-
+
2002022121222 = 232111223451179
BaseRepresentation
bin11101001000100001110…
…100010011111100000110
321002101120100211020210200
4131020201310103330012
5230300120130334342
64131414414031330
7264432655152144
oct35104164237406
97071510736720
102002022121222
11702064327452
122840091a8546
13116a364854c6
146cc81266594
15371257ae94c
hex1d221d13f06

2002022121222 has 12 divisors (see below), whose sum is σ = 4337714596020. Its totient is φ = 667340707068.

The previous prime is 2002022121199. The next prime is 2002022121247. The reversal of 2002022121222 is 2221212202002.

2002022121222 is a `hidden beast` number, since 200 + 2 + 0 + 221 + 21 + 222 = 666.

It is a super-3 number, since 3×20020221212223 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111223451179 = 2002022121222 / (2 + 0 + 0 + 2 + 0 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2002022121195 and 2002022121204.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 55611725572 + ... + 55611725607.

It is an arithmetic number, because the mean of its divisors is an integer number (361476216335).

Almost surely, 22002022121222 is an apocalyptic number.

2002022121222 is an abundant number, since it is smaller than the sum of its proper divisors (2335692474798).

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

2002022121222 is a wasteful number, since it uses less digits than its factorization.

2002022121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111223451187 (or 111223451184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2002022121222 its reverse (2221212202002), we get a palindrome (4223234323224).

The spelling of 2002022121222 in words is "two trillion, two billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 111223451179 222446902358 333670353537 667340707074 1001011060611 2002022121222