Search a number
-
+
211122212221020 = 223517206982561001
BaseRepresentation
bin110000000000001110111000…
…011101101011000001011100
31000200112002022222010211010010
4300000032320131223001130
5210133011242312033040
62025004112205043220
762320035142322412
oct6000167035530134
91020462288124103
10211122212221020
11612a7477943811
121b818a95856510
1390a597bcba3c9
143a1c5262412b2
151961b8ea31e80
hexc003b876b05c

211122212221020 has 48 divisors (see below), whose sum is σ = 625915264470048. Its totient is φ = 52987535616000.

The previous prime is 211122212220989. The next prime is 211122212221027. The reversal of 211122212221020 is 20122212221112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122212221027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103491279481 + ... + 103491281520.

It is an arithmetic number, because the mean of its divisors is an integer number (13039901343126).

Almost surely, 2211122212221020 is an apocalyptic number.

211122212221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122212221020 is an abundant number, since it is smaller than the sum of its proper divisors (414793052249028).

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

211122212221020 is a wasteful number, since it uses less digits than its factorization.

211122212221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206982561030 (or 206982561028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211122212221020 its reverse (20122212221112), we get a palindrome (231244424442132).

The spelling of 211122212221020 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 206982561001 413965122002 620947683003 827930244004 1034912805005 1241895366006 2069825610010 2483790732012 3104738415015 3518703537017 4139651220020 6209476830030 7037407074034 10556110611051 12418953660060 14074814148068 17593517685085 21112221222102 35187035370170 42224442444204 52780553055255 70374070740340 105561106110510 211122212221020