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211322211021220 = 22513812777734697
BaseRepresentation
bin110000000011001001001001…
…010100100011000110100100
31000201020012120020011112210111
4300003021021110203012210
5210144300342010134340
62025240030013302404
762340345250141435
oct6003111124430644
91021205506145714
10211322211021220
1161374278a65542
121b84b7b0a94a04
1390bb7a2ca9430
143a2809a0cd48c
151966e97d1aaea
hexc032495231a4

211322211021220 has 24 divisors (see below), whose sum is σ = 477913308002424. Its totient is φ = 78026662530816.

The previous prime is 211322211021211. The next prime is 211322211021241. The reversal of 211322211021220 is 22120112223112.

It can be written as a sum of positive squares in 4 ways, for example, as 5103650283876 + 206218560737344 = 2259126^2 + 14360312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211322211021191 and 211322211021200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406388867089 + ... + 406388867608.

It is an arithmetic number, because the mean of its divisors is an integer number (19913054500101).

Almost surely, 2211322211021220 is an apocalyptic number.

211322211021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211322211021220 is an abundant number, since it is smaller than the sum of its proper divisors (266591096981204).

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

211322211021220 is a wasteful number, since it uses less digits than its factorization.

211322211021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812777734719 (or 812777734717 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 211322211021220 its reverse (22120112223112), we get a palindrome (233442323244332).

The spelling of 211322211021220 in words is "two hundred eleven trillion, three hundred twenty-two billion, two hundred eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 812777734697 1625555469394 3251110938788 4063888673485 8127777346970 10566110551061 16255554693940 21132221102122 42264442204244 52830552755305 105661105510610 211322211021220