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211211002012180 = 22529364156900021
BaseRepresentation
bin110000000001100001100100…
…101111110110001000010100
31000200211120111212210112210211
4300001201210233312020110
5210140440113003342210
62025112554514255204
762326330345151332
oct6001414457661024
91020746455715724
10211211002012180
11613310a0416005
121b832135287504
1390b115c182581
143a2294a512b52
151964139a0838a
hexc01864bf6214

211211002012180 has 24 divisors (see below), whose sum is σ = 458837694027720. Its totient is φ = 81571145604480.

The previous prime is 211211002012177. The next prime is 211211002012181. The reversal of 211211002012180 is 81210200112112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24306339581316 + 186904662430864 = 4930146^2 + 13671308^2 .

It is a super-2 number, since 2×2112110020121802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211002012181) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 182078449431 + ... + 182078450590.

It is an arithmetic number, because the mean of its divisors is an integer number (19118237251155).

Almost surely, 2211211002012180 is an apocalyptic number.

211211002012180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211002012180 is an abundant number, since it is smaller than the sum of its proper divisors (247626692015540).

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

211211002012180 is a wasteful number, since it uses less digits than its factorization.

211211002012180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364156900059 (or 364156900057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 211211002012180 its reverse (81210200112112), we get a palindrome (292421202124292).

The spelling of 211211002012180 in words is "two hundred eleven trillion, two hundred eleven billion, two million, twelve thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 364156900021 728313800042 1456627600084 1820784500105 3641569000210 7283138000420 10560550100609 21121100201218 42242200402436 52802750503045 105605501006090 211211002012180