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23124312120 = 23357132117611
BaseRepresentation
bin10101100010010100…
…010000000000111000
32012200120110202202110
4111202110100000320
5334324310441440
614342334132320
71446020260410
oct254224200070
965616422673
1023124312120
119897086a58
1245943510a0
132246a65a30
14119520b640
159051b8080
hex562510038

23124312120 has 128 divisors (see below), whose sum is σ = 85382115840. Its totient is φ = 4878973440.

The previous prime is 23124312119. The next prime is 23124312137. The reversal of 23124312120 is 2121342132.

It is a super-2 number, since 2×231243121202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1047886 + ... + 1069725.

It is an arithmetic number, because the mean of its divisors is an integer number (667047780).

Almost surely, 223124312120 is an apocalyptic number.

23124312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23124312120 is an abundant number, since it is smaller than the sum of its proper divisors (62257803720).

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

23124312120 is a wasteful number, since it uses less digits than its factorization.

23124312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117645 (or 2117641 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23124312120 its reverse (2121342132), we get a palindrome (25245654252).

The spelling of 23124312120 in words is "twenty-three billion, one hundred twenty-four million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 2117611 4235222 6352833 8470444 10588055 12705666 14823277 16940888 21176110 25411332 27528943 29646554 31764165 42352220 44469831 50822664 55057886 59293108 63528330 74116385 82586829 84704440 88939662 110115772 118586216 127056660 137644715 148232770 165173658 177879324 192702601 220231544 222349155 254113320 275289430 296465540 330347316 355758648 385405202 412934145 444698310 550578860 578107803 592931080 660694632 770810404 825868290 889396620 963513005 1101157720 1156215606 1541620808 1651736580 1778793240 1927026010 2312431212 2890539015 3303473160 3854052020 4624862424 5781078030 7708104040 11562156060 23124312120