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211204034320 = 2452640050429
BaseRepresentation
bin1100010010110010111…
…1011100111100010000
3202012011011122121012111
43010230233130330100
511430021213044240
6241005323235104
721154555446046
oct3045457347420
9665134577174
10211204034320
1181631197aa4
1234b23978a94
1316bbb5b4196
14a318104396
155761db81ea
hex312cbdcf10

211204034320 has 20 divisors (see below), whose sum is σ = 491049379980. Its totient is φ = 84481613696.

The previous prime is 211204034311. The next prime is 211204034357. The reversal of 211204034320 is 23430402112.

211204034320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45027142416 + 166176891904 = 212196^2 + 407648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2112040343202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211204034291 and 211204034300.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1320025135 + ... + 1320025294.

It is an arithmetic number, because the mean of its divisors is an integer number (24552468999).

Almost surely, 2211204034320 is an apocalyptic number.

211204034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211204034320 is an abundant number, since it is smaller than the sum of its proper divisors (279845345660).

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

211204034320 is a wasteful number, since it uses less digits than its factorization.

211204034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640050442 (or 2640050436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 211204034320 its reverse (23430402112), we get a palindrome (234634436432).

The spelling of 211204034320 in words is "two hundred eleven billion, two hundred four million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2640050429 5280100858 10560201716 13200252145 21120403432 26400504290 42240806864 52801008580 105602017160 211204034320