Search a number
-
+
220100322312 = 2332131012328217
BaseRepresentation
bin1100110011111100000…
…0000110010000001000
3210001010011120212002100
43030333000012100020
512101231140303222
6245040201433400
721621201604533
oct3147700062010
9701104525070
10220100322312
1185386991922
12367a719b860
13179a8721210
14a91d83da1a
155ad2e0a4ac
hex333f006408

220100322312 has 96 divisors (see below), whose sum is σ = 648315584280. Its totient is φ = 67052620800.

The previous prime is 220100322293. The next prime is 220100322353. The reversal of 220100322312 is 213223001022.

220100322312 is a `hidden beast` number, since 2 + 20 + 10 + 0 + 322 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145705577796 + 74394744516 = 381714^2 + 272754^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069573 + ... + 1258644.

Almost surely, 2220100322312 is an apocalyptic number.

It is an amenable number.

220100322312 is an abundant number, since it is smaller than the sum of its proper divisors (428215261968).

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

220100322312 is a wasteful number, since it uses less digits than its factorization.

220100322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328343 (or 2328336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220100322312 its reverse (213223001022), we get a palindrome (433323323334).

The spelling of 220100322312 in words is "two hundred twenty billion, one hundred million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 11817 15756 23634 31512 47268 94536 2328217 4656434 6984651 9312868 13969302 18625736 20953953 27938604 30266821 41907906 55877208 60533642 83815812 90800463 121067284 167631624 181600926 235149917 242134568 272401389 363201852 470299834 544802778 705449751 726403704 940599668 1089605556 1410899502 1881199336 2116349253 2179211112 2821799004 3056948921 4232698506 5643598008 6113897842 8465397012 9170846763 12227795684 16930794024 18341693526 24455591368 27512540289 36683387052 55025080578 73366774104 110050161156 220100322312