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1104113131000 = 235311245940819
BaseRepresentation
bin10000000100010010010…
…001010101110111111000
310220112220112122110201221
4100010102101111313320
5121042210430143000
62203120024121424
7142524644523055
oct20042221256770
93815815573657
101104113131000
11396285095210
12159b99306274
138016ac8a1b9
143b62186a02c
151dac1b2161a
hex10112455df8

1104113131000 has 128 divisors (see below), whose sum is σ = 2819714976000. Its totient is φ = 401322576000.

The previous prime is 1104113130973. The next prime is 1104113131039. The reversal of 1104113131000 is 1313114011.

It is a super-2 number, since 2×11041131310002 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 27028591 + ... + 27069409.

It is an arithmetic number, because the mean of its divisors is an integer number (22029023250).

Almost surely, 21104113131000 is an apocalyptic number.

1104113131000 is a gapful number since it is divisible by the number (10) 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 1104113131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409857488000).

1104113131000 is an abundant number, since it is smaller than the sum of its proper divisors (1715601845000).

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

1104113131000 is a wasteful number, since it uses less digits than its factorization.

1104113131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43310 (or 43296 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1104113131000 its reverse (1313114011), we get a palindrome (1105426245011).

The spelling of 1104113131000 in words is "one trillion, one hundred four billion, one hundred thirteen million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2459 2750 4918 5500 9836 11000 12295 19672 24590 27049 40819 49180 54098 61475 81638 98360 108196 122950 135245 163276 204095 216392 245900 270490 307375 326552 408190 449009 491800 540980 614750 676225 816380 898018 1020475 1081960 1229500 1352450 1632760 1796036 2040950 2245045 2459000 2704900 3381125 3592072 4081900 4490090 5102375 5409800 6762250 8163800 8980180 10204750 11225225 13524500 17960360 20409500 22450450 27049000 40819000 44900900 56126125 89801800 100373921 112252250 200747842 224504500 401495684 449009000 501869605 802991368 1003739210 1104113131 2007478420 2208226262 2509348025 4014956840 4416452524 5018696050 5520565655 8832905048 10037392100 11041131310 12546740125 20074784200 22082262620 25093480250 27602828275 44164525240 50186960500 55205656550 100373921000 110411313100 138014141375 220822626200 276028282750 552056565500 1104113131000