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212102012122 = 2711132359101773
BaseRepresentation
bin1100010110001001000…
…0111101110011011010
3202021110202100121011121
43011202100331303122
511433341103341442
6241234402115454
721216041233120
oct3054220756332
9667422317147
10212102012122
1181a52069010
123513464bb8a
13170026502b0
14a3a1495910
1557b5b45967
hex316243dcda

212102012122 has 256 divisors, whose sum is σ = 458378403840. Its totient is φ = 70925184000.

The previous prime is 212102012117. The next prime is 212102012173. The reversal of 212102012122 is 221210201212.

It is a happy number.

212102012122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212102012096 and 212102012105.

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 127 ways as a sum of consecutive naturals, for example, 274387728 + ... + 274388500.

It is an arithmetic number, because the mean of its divisors is an integer number (1790540640).

Almost surely, 2212102012122 is an apocalyptic number.

212102012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212102012122 is an abundant number, since it is smaller than the sum of its proper divisors (246276391718).

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

212102012122 is a wasteful number, since it uses less digits than its factorization.

212102012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212102012122 its reverse (221210201212), we get a palindrome (433312213334).

It can be divided in two parts, 21210201212 and 2, that multiplied together give a palindrome (42420402424).

The spelling of 212102012122 in words is "two hundred twelve billion, one hundred two million, twelve thousand, one hundred twenty-two".