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220312301312 = 2817112944839
BaseRepresentation
bin1100110100101110100…
…0101110111100000000
3210001122221110111121102
43031023220232330000
512102144422120222
6245113213113532
721626354443235
oct3151350567400
9701587414542
10220312301312
1185485606884
12368461888a8
1317a10610a8c
14a93da5d78c
155ae682dd92
hex334ba2ef00

220312301312 has 72 divisors (see below), whose sum is σ = 466055301600. Its totient is φ = 103582236672.

The previous prime is 220312301273. The next prime is 220312301323. The reversal of 220312301312 is 213103213022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4890989 + ... + 4935827.

It is an arithmetic number, because the mean of its divisors is an integer number (6472990300).

Almost surely, 2220312301312 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 220312301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233027650800).

220312301312 is an abundant number, since it is smaller than the sum of its proper divisors (245743000288).

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

220312301312 is a wasteful number, since it uses less digits than its factorization.

220312301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46001 (or 45987 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220312301312 its reverse (213103213022), we get a palindrome (433415514334).

The spelling of 220312301312 in words is "two hundred twenty billion, three hundred twelve million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 1129 2176 2258 4352 4516 9032 18064 19193 36128 38386 44839 72256 76772 89678 144512 153544 179356 289024 307088 358712 614176 717424 762263 1228352 1434848 1524526 2456704 2869696 3049052 4913408 5739392 6098104 11478784 12196208 24392416 48784832 50623231 97569664 101246462 195139328 202492924 404985848 809971696 860594927 1619943392 1721189854 3239886784 3442379708 6479773568 6884759416 12959547136 13769518832 27539037664 55078075328 110156150656 220312301312