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211122120102032 = 2417776184265081
BaseRepresentation
bin110000000000001110110010…
…111110010001000010010000
31000200112002002112210200121202
4300000032302332101002100
5210133011100221231112
62025004055114410332
762320032643323056
oct6000166276210220
91020462075720552
10211122120102032
11612a742a945417
121b818a6aa309a8
1390a5965ba5b29
143a1c517d021d6
151961b868d76c2
hexc003b2f91090

211122120102032 has 20 divisors (see below), whose sum is σ = 433110819915756. Its totient is φ = 99351585930240.

The previous prime is 211122120101989. The next prime is 211122120102041. The reversal of 211122120102032 is 230201021221112.

It can be written as a sum of positive squares in 2 ways, for example, as 178397267623936 + 32724852478096 = 13356544^2 + 5720564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211122120101995 and 211122120102013.

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 3 ways as a sum of consecutive naturals, for example, 388092132269 + ... + 388092132812.

Almost surely, 2211122120102032 is an apocalyptic number.

It is an amenable number.

211122120102032 is an abundant number, since it is smaller than the sum of its proper divisors (221988699813724).

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

211122120102032 is a wasteful number, since it uses less digits than its factorization.

211122120102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776184265106 (or 776184265100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211122120102032 its reverse (230201021221112), we get a palindrome (441323141323144).

The spelling of 211122120102032 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 776184265081 1552368530162 3104737060324 6209474120648 12418948241296 13195132506377 26390265012754 52780530025508 105561060051016 211122120102032