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212121020323332 = 223224163692438473
BaseRepresentation
bin110000001110110001000110…
…000100001101011000000100
31000211001120102121210120100100
4300032301012010031120010
5210300342322200321312
62031051015041044100
762452144425160161
oct6016610604153004
91024046377716310
10212121020323332
1161652023a9729a
121b95a584626630
139148c0736a633
143a549d8267068
15197cb4b80d5dc
hexc0ec4610d604

212121020323332 has 36 divisors (see below), whose sum is σ = 536195243163580. Its totient is φ = 70706948516352.

The previous prime is 212121020323321. The next prime is 212121020323367. The reversal of 212121020323332 is 233323020121212.

212121020323332 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 1 + 0 + 2 + 0 + 323 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12236675625216 + 199884344698116 = 3498096^2 + 14138046^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2121210203233323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212121020323296 and 212121020323305.

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 11 ways as a sum of consecutive naturals, for example, 85770048 + ... + 88208520.

Almost surely, 2212121020323332 is an apocalyptic number.

It is an amenable number.

212121020323332 is an abundant number, since it is smaller than the sum of its proper divisors (324074222840248).

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

212121020323332 is a wasteful number, since it uses less digits than its factorization.

212121020323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854852 (or 4854847 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212121020323332 its reverse (233323020121212), we get a palindrome (445444040444544).

The spelling of 212121020323332 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2416369 2438473 4832738 4876946 7249107 7315419 9665476 9753892 14498214 14630838 21747321 21946257 28996428 29261676 43494642 43892514 86989284 87785028 5892250564537 11784501129074 17676751693611 23569002258148 35353503387222 53030255080833 70707006774444 106060510161666 212121020323332