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104107900320 = 253458033017
BaseRepresentation
bin110000011110101010…
…0000111110110100000
3100221201110101022010000
41200331110013312200
53201203110302240
6115454305340000
710343614360164
oct1407524076640
9327643338100
10104107900320
1140174217446
1218215637600
139a818ac8a8
145078860ca4
152a94bc5430
hex183d507da0

104107900320 has 120 divisors (see below), whose sum is σ = 367414177284. Its totient is φ = 27762103296.

The previous prime is 104107900291. The next prime is 104107900361. The reversal of 104107900320 is 23009701401.

It can be written as a sum of positive squares in 2 ways, for example, as 87376995216 + 16730905104 = 295596^2 + 129348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-6 number, since 6×1041079003206 (a number of 67 digits) contains 666666 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 (27).

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 19 ways as a sum of consecutive naturals, for example, 4003549 + ... + 4029468.

Almost surely, 2104107900320 is an apocalyptic number.

104107900320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104107900320 is an abundant number, since it is smaller than the sum of its proper divisors (263306276964).

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

104107900320 is an equidigital number, since it uses as much as digits as its factorization.

104107900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033044 (or 8033027 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 104107900320 in words is "one hundred four billion, one hundred seven million, nine hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 8033017 16066034 24099051 32132068 40165085 48198102 64264136 72297153 80330170 96396204 120495255 128528272 144594306 160660340 192792408 216891459 240990510 257056544 289188612 321320680 361485765 385584816 433782918 481981020 578377224 642641360 650674377 722971530 771169632 867565836 963962040 1084457295 1156754448 1285282720 1301348754 1445943060 1735131672 1927924080 2168914590 2313508896 2602697508 2891886120 3253371885 3470263344 3855848160 4337829180 5205395016 5783772240 6506743770 6940526688 8675658360 10410790032 11567544480 13013487540 17351316720 20821580064 26026975080 34702633440 52053950160 104107900320