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1104105242000 = 24531709332297
BaseRepresentation
bin10000000100010001110…
…011001111110110010000
310220112212222210200001202
4100010101303033312100
5121042201420221000
62203115143050332
7142524520465055
oct20042163176620
93815788720052
101104105242000
11396280697082
12159b967409a8
1380169457457
143b6207b502c
151dac10b3dd5
hex10111ccfd90

1104105242000 has 80 divisors (see below), whose sum is σ = 2669965330032. Its totient is φ = 441602585600.

The previous prime is 1104105241927. The next prime is 1104105242041. The reversal of 1104105242000 is 2425014011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82582666384 + 1021522575616 = 287372^2 + 1010704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 34169852 + ... + 34202148.

Almost surely, 21104105242000 is an apocalyptic number.

1104105242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104105242000 is an abundant number, since it is smaller than the sum of its proper divisors (1565860088032).

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

1104105242000 is a wasteful number, since it uses less digits than its factorization.

1104105242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49413 (or 49397 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 1104105242000 in words is "one trillion, one hundred four billion, one hundred five million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 17093 32297 34186 64594 68372 85465 129188 136744 161485 170930 258376 273488 322970 341860 427325 516752 645940 683720 807425 854650 1291880 1367440 1614850 1709300 2136625 2583760 3229700 3418600 4037125 4273250 6459400 6837200 8074250 8546500 12918800 16148500 17093000 32297000 34186000 64594000 552052621 1104105242 2208210484 2760263105 4416420968 5520526210 8832841936 11041052420 13801315525 22082104840 27602631050 44164209680 55205262100 69006577625 110410524200 138013155250 220821048400 276026310500 552052621000 1104105242000