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212381210322 = 23219257172
BaseRepresentation
bin1100010111001011101…
…0000001011011010010
3202022012012201100002200
43011302322001123102
511434424042212242
6241322214224030
721226001334051
oct3056272013322
9668165640080
10212381210322
1182085724826
12351b2055016
1317048446a28
14a3ca5b2398
1557d03e604c
hex3172e816d2

212381210322 has 54 divisors (see below), whose sum is σ = 485737842213. Its totient is φ = 67056019344.

The previous prime is 212381210287. The next prime is 212381210323. The reversal of 212381210322 is 223012183212.

212381210322 is a `hidden beast` number, since 2 + 123 + 8 + 1 + 210 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 210909644001 + 1471566321 = 459249^2 + 38361^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=325869.

It is not an unprimeable number, because it can be changed into a prime (212381210323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37146208 + ... + 37151924.

Almost surely, 2212381210322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212381210322

212381210322 is an abundant number, since it is smaller than the sum of its proper divisors (273356631891).

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

212381210322 is an frugal number, since it uses more digits than its factorization.

212381210322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 212381210322 its reverse (223012183212), we get a palindrome (435393393534).

The spelling of 212381210322 in words is "two hundred twelve billion, three hundred eighty-one million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 5717 6498 11434 17151 34302 51453 102906 108623 217246 325869 651738 977607 1955214 2063837 4127674 6191511 12383022 18574533 32684089 37149066 65368178 98052267 196104534 294156801 588313602 620997691 1241995382 1862993073 3725986146 5588979219 11177958438 11798956129 23597912258 35396868387 70793736774 106190605161 212381210322