Search a number
-
+
2001121122222 = 232700791586401
BaseRepresentation
bin11101000111101100000…
…111010001011110101110
321002022020120102202112100
4131013230013101132232
5230241244001402342
64131145150315530
7264401434612665
oct35075407213656
97068216382470
102001121122222
11701741782582
122839b74b8ba6
131169218cc1c1
146cbd7729ddc
15370c1636e4c
hex1d1ec1d17ae

2001121122222 has 24 divisors (see below), whose sum is σ = 4335827034240. Its totient is φ = 667030435200.

The previous prime is 2001121122211. The next prime is 2001121122223. The reversal of 2001121122222 is 2222211211002.

It is a happy number.

2001121122222 is a `hidden beast` number, since 200 + 1 + 121 + 122 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001121122195 and 2001121122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001121122223) 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 11 ways as a sum of consecutive naturals, for example, 468222 + ... + 2054622.

It is an arithmetic number, because the mean of its divisors is an integer number (180659459760).

Almost surely, 22001121122222 is an apocalyptic number.

2001121122222 is an abundant number, since it is smaller than the sum of its proper divisors (2334705912018).

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

2001121122222 is a wasteful number, since it uses less digits than its factorization.

2001121122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656488 (or 1656485 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2001121122222 its reverse (2222211211002), we get a palindrome (4223332333224).

The spelling of 2001121122222 in words is "two trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 70079 140158 210237 420474 630711 1261422 1586401 3172802 4759203 9518406 14277609 28555218 111173395679 222346791358 333520187037 667040374074 1000560561111 2001121122222