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23044113121200 = 24352102671870403
BaseRepresentation
bin1010011110101011000000…
…01011010011111110110000
310000120222212212100112011120
411033111200023103332300
511010023320424334300
6121002152554542240
74565611414434543
oct517254013237660
9100528785315146
1023044113121200
117384a54109676
12270212aa37980
13cb2087073802
145994abac085a
1529e66c22e3a0
hex14f5602d3fb0

23044113121200 has 120 divisors (see below), whose sum is σ = 73825204997568. Its totient is φ = 6144495018240.

The previous prime is 23044113121129. The next prime is 23044113121207. The reversal of 23044113121200 is 212131144032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×230441131212002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23044113121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11385199 + ... + 13255601.

Almost surely, 223044113121200 is an apocalyptic number.

23044113121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23044113121200 is an abundant number, since it is smaller than the sum of its proper divisors (50781091876368).

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

23044113121200 is a wasteful number, since it uses less digits than its factorization.

23044113121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880691 (or 1880680 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23044113121200 its reverse (212131144032), we get a palindrome (23256244265232).

The spelling of 23044113121200 in words is "twenty-three trillion, forty-four billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10267 20534 30801 41068 51335 61602 82136 102670 123204 154005 164272 205340 246408 256675 308010 410680 492816 513350 616020 770025 821360 1026700 1232040 1540050 1870403 2053400 2464080 3080100 3740806 4106800 5611209 6160200 7481612 9352015 11222418 12320400 14963224 18704030 22444836 28056045 29926448 37408060 44889672 46760075 56112090 74816120 89779344 93520150 112224180 140280225 149632240 187040300 224448360 280560450 374080600 448896720 561120900 748161200 1122241800 2244483600 19203427601 38406855202 57610282803 76813710404 96017138005 115220565606 153627420808 192034276010 230441131212 288051414015 307254841616 384068552020 460882262424 480085690025 576102828030 768137104040 921764524848 960171380050 1152205656060 1440257070075 1536274208080 1920342760100 2304411312120 2880514140150 3840685520200 4608822624240 5761028280300 7681371040400 11522056560600 23044113121200