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23003543120 = 24510910392539
BaseRepresentation
bin10101011011000111…
…100011011001010000
32012101011020001211112
4111123013203121100
5334102401334440
614322341432452
71443022614245
oct253307433120
965334201745
1023003543120
11983499a468
12455ba0b728
132227a2ca9c
1411831715cc
158e97ae965
hex55b1e3650

23003543120 has 80 divisors (see below), whose sum is σ = 54047136000. Its totient is φ = 9104638464.

The previous prime is 23003543093. The next prime is 23003543137. The reversal of 23003543120 is 2134530032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9058811 + ... + 9061349.

It is an arithmetic number, because the mean of its divisors is an integer number (675589200).

Almost surely, 223003543120 is an apocalyptic number.

23003543120 is a gapful number since it is divisible by the number (20) 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 23003543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27023568000).

23003543120 is an abundant number, since it is smaller than the sum of its proper divisors (31043592880).

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

23003543120 is a wasteful number, since it uses less digits than its factorization.

23003543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The spelling of 23003543120 in words is "twenty-three billion, three million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1039 1090 1744 2078 2180 2539 4156 4360 5078 5195 8312 8720 10156 10390 12695 16624 20312 20780 25390 40624 41560 50780 83120 101560 113251 203120 226502 276751 453004 553502 566255 906008 1107004 1132510 1383755 1812016 2214008 2265020 2638021 2767510 4428016 4530040 5276042 5535020 9060080 10552084 11070040 13190105 21104168 22140080 26380210 42208336 52760420 105520840 211041680 287544289 575088578 1150177156 1437721445 2300354312 2875442890 4600708624 5750885780 11501771560 23003543120