Search a number
-
+
1104201113112 = 233261255798323
BaseRepresentation
bin10000000100010111100…
…000111101111000011000
310220120010200012102111200
4100010113200331320120
5121042400441104422
62203132445554200
7142530063412506
oct20042740757030
93816120172450
101104201113112
1139631a8184a9
1215a002875960
1380183283816
143b62d40d676
151dac97002ac
hex1011783de18

1104201113112 has 96 divisors (see below), whose sum is σ = 3040789655280. Its totient is φ = 361887886080.

The previous prime is 1104201113111. The next prime is 1104201113177. The reversal of 1104201113112 is 2113111024011.

1104201113112 is a `hidden beast` number, since 110 + 420 + 1 + 1 + 131 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104201113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11181183 + ... + 11279505.

Almost surely, 21104201113112 is an apocalyptic number.

1104201113112 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 1104201113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520394827640).

1104201113112 is an abundant number, since it is smaller than the sum of its proper divisors (1936588542168).

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

1104201113112 is a wasteful number, since it uses less digits than its factorization.

1104201113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100953 (or 100946 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1104201113112 its reverse (2113111024011), we get a palindrome (3217312137123).

The spelling of 1104201113112 in words is "one trillion, one hundred four billion, two hundred one million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 2557 4392 5114 7671 10228 15342 20456 23013 30684 46026 61368 92052 98323 155977 184104 196646 294969 311954 393292 467931 589938 623908 786584 884907 935862 1179876 1247816 1403793 1769814 1871724 2359752 2807586 3539628 3743448 5615172 5997703 7079256 11230344 11995406 17993109 23990812 35986218 47981624 53979327 71972436 107958654 143944872 215917308 251411911 431834616 502823822 754235733 1005647644 1508471466 2011295288 2262707199 3016942932 4525414398 6033885864 9050828796 15336126571 18101657592 30672253142 46008379713 61344506284 92016759426 122689012568 138025139139 184033518852 276050278278 368067037704 552100556556 1104201113112