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10423120000 = 27541131153
BaseRepresentation
bin10011011010100010…
…00011000010000000
3222220101221100122111
421231101003002000
5132321304320000
64442135345104
7516203025646
oct115521030200
928811840574
1010423120000
114469641367
12202a822194
13ca1565337
1470c425196
154100dbcba
hex26d443080

10423120000 has 160 divisors (see below), whose sum is σ = 26200035180. Its totient is φ = 4128768000.

The previous prime is 10423119983. The next prime is 10423120021. The reversal of 10423120000 is 2132401.

It can be written as a sum of positive squares in 10 ways, for example, as 2013496384 + 8409623616 = 44872^2 + 91704^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9039424 + ... + 9040576.

Almost surely, 210423120000 is an apocalyptic number.

10423120000 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 10423120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100017590).

10423120000 is an abundant number, since it is smaller than the sum of its proper divisors (15776915180).

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

10423120000 is an equidigital number, since it uses as much as digits as its factorization.

10423120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10423120000 its reverse (2132401), we get a palindrome (10425252401).

The spelling of 10423120000 in words is "ten billion, four hundred twenty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 128 160 200 226 250 320 400 452 500 565 625 640 800 904 1000 1130 1153 1250 1600 1808 2000 2260 2306 2500 2825 3200 3616 4000 4520 4612 5000 5650 5765 7232 8000 9040 9224 10000 11300 11530 14125 14464 16000 18080 18448 20000 22600 23060 28250 28825 36160 36896 40000 45200 46120 56500 57650 70625 72320 73792 80000 90400 92240 113000 115300 130289 141250 144125 147584 180800 184480 226000 230600 260578 282500 288250 361600 368960 452000 461200 521156 565000 576500 651445 720625 737920 904000 922400 1042312 1130000 1153000 1302890 1441250 1808000 1844800 2084624 2260000 2306000 2605780 2882500 3257225 3689600 4169248 4520000 4612000 5211560 5765000 6514450 8338496 9040000 9224000 10423120 11530000 13028900 16286125 16676992 18448000 20846240 23060000 26057800 32572250 41692480 46120000 52115600 65144500 81430625 83384960 92240000 104231200 130289000 162861250 208462400 260578000 325722500 416924800 521156000 651445000 1042312000 1302890000 2084624000 2605780000 5211560000 10423120000