Search a number
-
+
1104004343112 = 2331122740734523
BaseRepresentation
bin10000000100001011110…
…010010110010101001000
310220112121221221110210220
4100010023302112111020
5121042000102434422
62203101140310040
7142522154040156
oct20041362262510
93815557843726
101104004343112
11396229741270
12159b689a2320
138015158a778
143b61122c3d6
151dab72d2e5c
hex1010bc96548

1104004343112 has 128 divisors (see below), whose sum is σ = 3025596188160. Its totient is φ = 332917598720.

The previous prime is 1104004343089. The next prime is 1104004343209. The reversal of 1104004343112 is 2113434004011.

It is a super-2 number, since 2×11040043431122 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244084483 + ... + 244089005.

It is an arithmetic number, because the mean of its divisors is an integer number (23637470220).

Almost surely, 21104004343112 is an apocalyptic number.

1104004343112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104004343112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512798094080).

1104004343112 is an abundant number, since it is smaller than the sum of its proper divisors (1921591845048).

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

1104004343112 is a wasteful number, since it uses less digits than its factorization.

1104004343112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843 (or 8839 counting only the distinct ones).

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

Adding to 1104004343112 its reverse (2113434004011), we get a palindrome (3217438347123).

The spelling of 1104004343112 in words is "one trillion, one hundred four billion, four million, three hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 454 681 908 1362 1816 2497 2724 4073 4523 4994 5448 7491 8146 9046 9988 12219 13569 14982 16292 18092 19976 24438 27138 29964 32584 36184 44803 48876 49753 54276 59928 89606 97752 99506 108552 134409 149259 179212 199012 268818 298518 358424 398024 537636 597036 924571 1026721 1075272 1194072 1849142 2053442 2773713 3080163 3698284 4106884 5547426 6160326 7396568 8213768 10170281 11094852 11293931 12320652 18422179 20340562 22189704 22587862 24641304 30510843 33881793 36844358 40681124 45175724 55266537 61021686 67763586 73688716 81362248 90351448 110533074 122043372 135527172 147377432 202643969 221066148 244086744 271054344 405287938 442132296 607931907 810575876 1215863814 1621151752 2431727628 4181834633 4863455256 8363669266 12545503899 16727338532 25091007798 33454677064 46000180963 50182015596 92000361926 100364031192 138000542889 184000723852 276001085778 368001447704 552002171556 1104004343112