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13104445000100 = 22521273117014733
BaseRepresentation
bin1011111010110001110111…
…0010100000100110100100
31201101202212022012021100112
42332230131302200212210
53204200400410000400
643512033211232152
72521523235430016
oct276543562404644
951352768167315
1013104445000100
1141a26226301a3
121577890148658
1374098935551c
143343895561b6
1517ad23c48835
hexbeb1dca09a4

13104445000100 has 144 divisors (see below), whose sum is σ = 28799812694016. Its totient is φ = 5175293760000.

The previous prime is 13104445000081. The next prime is 13104445000109. The reversal of 13104445000100 is 100054440131.

13104445000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13104445000109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768737334 + ... + 2768742066.

It is an arithmetic number, because the mean of its divisors is an integer number (199998699264).

Almost surely, 213104445000100 is an apocalyptic number.

13104445000100 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 13104445000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399906347008).

13104445000100 is an abundant number, since it is smaller than the sum of its proper divisors (15695367693916).

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

13104445000100 is a wasteful number, since it uses less digits than its factorization.

13104445000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 13104445000100 its reverse (100054440131), we get a palindrome (13204499440231).

The spelling of 13104445000100 in words is "thirteen trillion, one hundred four billion, four hundred forty-five million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 127 254 311 508 622 635 701 1244 1270 1402 1555 2540 2804 3110 3175 3505 4733 6220 6350 7010 7775 9466 12700 14020 15550 17525 18932 23665 31100 35050 39497 47330 70100 78994 89027 94660 118325 157988 178054 197485 218011 236650 356108 394970 436022 445135 473300 601091 789940 872044 890270 987425 1090055 1202182 1471963 1780540 1974850 2180110 2225675 2404364 2943926 3005455 3317833 3949700 4360220 4451350 5450275 5887852 6010910 6635666 7359815 8902700 10900550 12021820 13271332 14719630 15027275 16589165 21801100 27687397 29439260 30054550 33178330 36799075 55374794 60109100 66356660 73598150 82945825 110749588 138436985 147196300 165891650 186939301 276873970 331783300 373878602 421364791 553747940 692184925 747757204 842729582 934696505 1031846063 1384369850 1685459164 1869393010 2063692126 2106823955 2768739700 3738786020 4127384252 4213647910 4673482525 5159230315 8427295820 9346965050 10318460630 10534119775 18693930100 20636921260 21068239550 25796151575 42136479100 51592303150 103184606300 131044450001 262088900002 524177800004 655222250005 1310444500010 2620889000020 3276111250025 6552222500050 13104445000100