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1104115242100 = 2252132655731981
BaseRepresentation
bin10000000100010010011…
…001011001010001110100
310220112220200121201121211
4100010102121121101310
5121042212000221400
62203120141251204
7142525001464633
oct20042231312164
93815820551554
101104115242100
113962862a7322
12159b99b63b04
138016b549080
143b621c5951a
151dac1ddbdba
hex10112659474

1104115242100 has 72 divisors (see below), whose sum is σ = 2580410230328. Its totient is φ = 407645222400.

The previous prime is 1104115242053. The next prime is 1104115242101. The reversal of 1104115242100 is 12425114011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 805610363364 + 298504878736 = 897558^2 + 546356^2 .

It is a super-2 number, since 2×11041152421002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104115242101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34508110 + ... + 34540090.

Almost surely, 21104115242100 is an apocalyptic number.

1104115242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104115242100 is an abundant number, since it is smaller than the sum of its proper divisors (1476294988228).

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

1104115242100 is a wasteful number, since it uses less digits than its factorization.

1104115242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58565 (or 58558 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The spelling of 1104115242100 in words is "one trillion, one hundred four billion, one hundred fifteen million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 26557 31981 53114 63962 106228 127924 132785 159905 265570 319810 345241 415753 531140 639620 663925 690482 799525 831506 1327850 1380964 1599050 1663012 1726205 2078765 2655700 3198100 3452410 4157530 6904820 8315060 8631025 10393825 17262050 20787650 34524100 41575300 849319417 1698638834 3397277668 4246597085 8493194170 11041152421 16986388340 21232985425 22082304842 42465970850 44164609684 55205762105 84931941700 110411524210 220823048420 276028810525 552057621050 1104115242100