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212413044312 = 233272127474077
BaseRepresentation
bin1100010111010011001…
…1011101011001011000
3202022021102121200010100
43011310303131121120
511440010214404222
6241325312415400
721226536041400
oct3056463353130
9668242550110
10212413044312
11820a1698107
1235200847560
1317051c11701
14a3d08db800
1557d30d34ac
hex3174cdd658

212413044312 has 144 divisors (see below), whose sum is σ = 674480252160. Its totient is φ = 60211444608.

The previous prime is 212413044301. The next prime is 212413044377. The reversal of 212413044312 is 213440314212.

212413044312 is a `hidden beast` number, since 2 + 1 + 2 + 41 + 304 + 4 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211018 + ... + 685094.

It is an arithmetic number, because the mean of its divisors is an integer number (4683890640).

Almost surely, 2212413044312 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 212413044312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337240126080).

212413044312 is an abundant number, since it is smaller than the sum of its proper divisors (462067207848).

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

212413044312 is a wasteful number, since it uses less digits than its factorization.

212413044312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474230 (or 474216 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212413044312 its reverse (213440314212), we get a palindrome (425853358524).

The spelling of 212413044312 in words is "two hundred twelve billion, four hundred thirteen million, forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 127 147 168 196 252 254 294 381 392 441 504 508 588 762 882 889 1016 1143 1176 1524 1764 1778 2286 2667 3048 3528 3556 4572 5334 6223 7112 8001 9144 10668 12446 16002 18669 21336 24892 32004 37338 49784 56007 64008 74676 112014 149352 224028 448056 474077 948154 1422231 1896308 2844462 3318539 3792616 4266693 5688924 6637078 8533386 9955617 11377848 13274156 17066772 19911234 23229773 26548312 29866851 34133544 39822468 46459546 59733702 60207779 69689319 79644936 92919092 119467404 120415558 139378638 180623337 185838184 209067957 238934808 240831116 278757276 361246674 418135914 421454453 481662232 541870011 557514552 722493348 836271828 842908906 1083740022 1264363359 1444986696 1672543656 1685817812 2167480044 2528726718 2950181171 3371635624 3793090077 4334960088 5057453436 5900362342 7586180154 8850543513 10114906872 11800724684 15172360308 17701087026 23601449368 26551630539 30344720616 35402174052 53103261078 70804348104 106206522156 212413044312