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13121406300 = 22352419111171
BaseRepresentation
bin11000011100001100…
…01100010101011100
31020212110020111121010
430032012030111130
5203333040000200
610010005135220
7643106053602
oct141606142534
936773214533
1013121406300
115623767842
1226623ba510
13131159ba52
148c692d872
1551be34150
hex30e18c55c

13121406300 has 144 divisors (see below), whose sum is σ = 38966505984. Its totient is φ = 3407040000.

The previous prime is 13121406299. The next prime is 13121406379. The reversal of 13121406300 is 360412131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11204715 + ... + 11205885.

It is an arithmetic number, because the mean of its divisors is an integer number (270600736).

Almost surely, 213121406300 is an apocalyptic number.

13121406300 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 13121406300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483252992).

13121406300 is an abundant number, since it is smaller than the sum of its proper divisors (25845099684).

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

13121406300 is a wasteful number, since it uses less digits than its factorization.

13121406300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13121406300 its reverse (360412131), we get a palindrome (13481818431).

The spelling of 13121406300 in words is "thirteen billion, one hundred twenty-one million, four hundred six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 911 1025 1171 1230 1822 2050 2342 2460 2733 3075 3513 3644 4100 4555 4684 5466 5855 6150 7026 9110 10932 11710 12300 13665 14052 17565 18220 22775 23420 27330 29275 35130 37351 45550 48011 54660 58550 68325 70260 74702 87825 91100 96022 112053 117100 136650 144033 149404 175650 186755 192044 224106 240055 273300 288066 351300 373510 448212 480110 560265 576132 720165 747020 933775 960220 1066781 1120530 1200275 1440330 1867550 2133562 2241060 2400550 2801325 2880660 3200343 3600825 3735100 4267124 4801100 5333905 5602650 6400686 7201650 10667810 11205300 12801372 14403300 16001715 21335620 26669525 32003430 43738021 53339050 64006860 80008575 87476042 106678100 131214063 160017150 174952084 218690105 262428126 320034300 437380210 524856252 656070315 874760420 1093450525 1312140630 2186901050 2624281260 3280351575 4373802100 6560703150 13121406300