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23109310080 = 273254012033
BaseRepresentation
bin10101100001011011…
…000001011010000000
32012122112020120211100
4111201123001122000
5334311440410310
614341040414400
71445445615603
oct254133013200
965575216740
1023109310080
11988966a77a
12458b317400
13224391249c
14119322433a
15903c02ec0
hex5616c1680

23109310080 has 96 divisors (see below), whose sum is σ = 79799356260. Its totient is φ = 6162481152.

The previous prime is 23109310019. The next prime is 23109310117. The reversal of 23109310080 is 8001390132.

It can be written as a sum of positive squares in 2 ways, for example, as 23057815104 + 51494976 = 151848^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2000257 + ... + 2011776.

Almost surely, 223109310080 is an apocalyptic number.

23109310080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23109310080 is an abundant number, since it is smaller than the sum of its proper divisors (56690046180).

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

23109310080 is a wasteful number, since it uses less digits than its factorization.

23109310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012058 (or 4012043 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 23109310080 in words is "twenty-three billion, one hundred nine million, three hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 4012033 8024066 12036099 16048132 20060165 24072198 32096264 36108297 40120330 48144396 60180495 64192528 72216594 80240660 96288792 120360990 128385056 144433188 160481320 180541485 192577584 240721980 256770112 288866376 320962640 361082970 385155168 481443960 513540224 577732752 641925280 722165940 770310336 962887920 1155465504 1283850560 1444331880 1540620672 1925775840 2310931008 2567701120 2888663760 3851551680 4621862016 5777327520 7703103360 11554655040 23109310080