Search a number
-
+
11204310401304 = 2333122711792591
BaseRepresentation
bin1010001100001011010011…
…1100010000000100011000
31110200010021122201102210120
42203002310330100010120
52432032411430320204
635455104504313240
72234325154014066
oct243026474200430
943603248642716
1011204310401304
11362a7a3142439
12130b578a72820
1363373c764b37
142aa411ccb036
151466b32696d9
hexa30b4f10118

11204310401304 has 96 divisors (see below), whose sum is σ = 29050315729920. Its totient is φ = 3600954792000.

The previous prime is 11204310401299. The next prime is 11204310401363. The reversal of 11204310401304 is 40310401340211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 5354049 + ... + 7146639.

It is an arithmetic number, because the mean of its divisors is an integer number (302607455520).

Almost surely, 211204310401304 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 11204310401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14525157864960).

11204310401304 is an abundant number, since it is smaller than the sum of its proper divisors (17846005328616).

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

11204310401304 is a wasteful number, since it uses less digits than its factorization.

11204310401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792933 (or 1792898 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11204310401304 its reverse (40310401340211), we get a palindrome (51514711741515).

The spelling of 11204310401304 in words is "eleven trillion, two hundred four billion, three hundred ten million, four hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 271 372 542 744 813 961 1084 1626 1922 2168 2883 3252 3844 5766 6504 7688 8401 11532 16802 23064 25203 33604 50406 67208 100812 201624 260431 520862 781293 1041724 1562586 1792591 2083448 3125172 3585182 5377773 6250344 7170364 10755546 14340728 21511092 43022184 55570321 111140642 166710963 222281284 333421926 444562568 485792161 666843852 971584322 1333687704 1457376483 1722679951 1943168644 2914752966 3445359902 3886337288 5168039853 5829505932 6890719804 10336079706 11659011864 13781439608 15059556991 20672159412 30119113982 41344318824 45178670973 60238227964 90357341946 120476455928 180714683892 361429367784 466846266721 933692533442 1400538800163 1867385066884 2801077600326 3734770133768 5602155200652 11204310401304