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1104120332112 = 243723563139459
BaseRepresentation
bin10000000100010010101…
…100110011111101010000
310220112221001012022210210
4100010102230303331100
5121042214301111422
62203120442324120
7142525062654420
oct20042254637520
93815831168723
101104120332112
11396289163546
12159b9b7b9640
138016c60bb05
143b6227c2480
151dac259510c
hex10112b33f50

1104120332112 has 80 divisors (see below), whose sum is σ = 3259945556480. Its totient is φ = 315447302016.

The previous prime is 1104120332101. The next prime is 1104120332123. The reversal of 1104120332112 is 2112330214011.

It is an interprime number because it is at equal distance from previous prime (1104120332101) and next prime (1104120332123).

It is a super-3 number, since 3×11041203321123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7847439 + ... + 7986897.

It is an arithmetic number, because the mean of its divisors is an integer number (40749319456).

Almost surely, 21104120332112 is an apocalyptic number.

1104120332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1104120332112 is an abundant number, since it is smaller than the sum of its proper divisors (2155825224368).

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

1104120332112 is a wasteful number, since it uses less digits than its factorization.

1104120332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163040 (or 163034 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1104120332112 its reverse (2112330214011), we get a palindrome (3216450546123).

The spelling of 1104120332112 in words is "one trillion, one hundred four billion, one hundred twenty million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 23563 47126 70689 94252 139459 141378 164941 188504 278918 282756 329882 377008 418377 494823 557836 565512 659764 836754 976213 989646 1115672 1131024 1319528 1673508 1952426 1979292 2231344 2639056 2928639 3347016 3904852 3958584 5857278 6694032 7809704 7917168 11714556 15619408 23429112 46858224 3286072417 6572144834 9858217251 13144289668 19716434502 23002506919 26288579336 39432869004 46005013838 52577158672 69007520757 78865738008 92010027676 138015041514 157731476016 184020055352 276030083028 368040110704 552060166056 1104120332112