Search a number
-
+
2113111433344 = 2771976913469
BaseRepresentation
bin11110101111111111010…
…000011010000010000000
321111000022100222000111011
4132233333100122002000
5234110123011331334
64254425555330304
7305444604552532
oct36577720320200
97430270860434
102113111433344
1174519035190a
122a16508b0994
1312435b5603a2
14743bcda5852
1539e7832b564
hex1ebff41a080

2113111433344 has 128 divisors (see below), whose sum is σ = 4320503107200. Its totient is φ = 1029147033600.

The previous prime is 2113111433341. The next prime is 2113111433353. The reversal of 2113111433344 is 4433341113112.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2113111433341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609139642 + ... + 609143110.

It is an arithmetic number, because the mean of its divisors is an integer number (33753930525).

Almost surely, 22113111433344 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 2113111433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160251553600).

2113111433344 is an abundant number, since it is smaller than the sum of its proper divisors (2207391673856).

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

2113111433344 is an equidigital number, since it uses as much as digits as its factorization.

2113111433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4330 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

Adding to 2113111433344 its reverse (4433341113112), we get a palindrome (6546452546456).

The spelling of 2113111433344 in words is "two trillion, one hundred thirteen billion, one hundred eleven million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 97 128 142 194 284 388 568 691 776 1136 1382 1552 2272 2764 3104 3469 4544 5528 6208 6887 6938 9088 11056 12416 13774 13876 22112 27548 27752 44224 49061 55096 55504 67027 88448 98122 110192 111008 134054 196244 220384 222016 246299 268108 336493 392488 440768 444032 492598 536216 672986 784976 881536 985196 1072432 1345972 1569952 1970392 2144864 2397079 2691944 3139904 3940784 4289728 4758917 4794158 5383888 6279808 7881568 8579456 9517834 9588316 10767776 15763136 19035668 19176632 21535552 23891003 31526272 38071336 38353264 43071104 47782006 76142672 76706528 95564012 152285344 153413056 170192609 191128024 232516663 304570688 306826112 340385218 382256048 465033326 609141376 680770436 764512096 930066652 1361540872 1529024192 1860133304 2723081744 3058048384 3720266608 5446163488 7440533216 10892326976 14881066432 16508683073 21784653952 29762132864 33017366146 66034732292 132069464584 264138929168 528277858336 1056555716672 2113111433344