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212105054056 = 237235325112379
BaseRepresentation
bin1100010110001001110…
…0100100011101101000
3202021110222002010220211
43011202130210131220
511433342343212211
6241234551230504
721216106132540
oct3054234443550
9667428063824
10212105054056
1181a53856505
1235135678434
1317003176a5c
14a3a1a48320
1557b6046e21
hex3162724768

212105054056 has 128 divisors (see below), whose sum is σ = 485185075200. Its totient is φ = 84962592000.

The previous prime is 212105054009. The next prime is 212105054071. The reversal of 212105054056 is 650450501212.

It is a super-2 number, since 2×2121050540562 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 17128075 + ... + 17140453.

It is an arithmetic number, because the mean of its divisors is an integer number (3790508400).

Almost surely, 2212105054056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212105054056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242592537600).

212105054056 is an abundant number, since it is smaller than the sum of its proper divisors (273080021144).

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

212105054056 is a wasteful number, since it uses less digits than its factorization.

212105054056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 212105054056 its reverse (650450501212), we get a palindrome (862555555268).

The spelling of 212105054056 in words is "two hundred twelve billion, one hundred five million, fifty-four thousand, fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 53 56 92 106 161 184 212 251 322 371 424 502 644 742 1004 1219 1288 1484 1757 2008 2438 2968 3514 4876 5773 7028 8533 9752 11546 12379 13303 14056 17066 23092 24758 26606 34132 40411 46184 49516 53212 68264 80822 86653 93121 99032 106424 161644 173306 186242 284717 305969 323288 346612 372484 569434 611938 656087 693224 744968 1138868 1223876 1312174 1993019 2141783 2277736 2447752 2624348 3107129 3986038 4283566 4592609 5248696 6214258 7972076 8567132 9185218 12428516 15090001 15944152 17134264 18370436 21749903 24857032 30180002 36740872 43499806 60360004 71463967 86999612 105630007 120720008 142927934 164677837 173999224 211260014 285855868 329355674 422520028 500247769 571711736 658711348 845040056 1000495538 1152744859 1317422696 2000991076 2305489718 3787590251 4001982152 4610979436 7575180502 9221958872 15150361004 26513131757 30300722008 53026263514 106052527028 212105054056