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201124424000 = 2653191323187
BaseRepresentation
bin1011101101001111110…
…0110010100101000000
3201020010201002100020202
42323103330302211000
511243400323032000
6232221214224332
720350023253043
oct2732374624500
9636121070222
10201124424000
1178329548635
1232b901b50a8
1315c73271b16
149a3d57ac5a
155372031dd5
hex2ed3f32940

201124424000 has 112 divisors (see below), whose sum is σ = 524300013120. Its totient is φ = 76215513600.

The previous prime is 201124423963. The next prime is 201124424069. The reversal of 201124424000 is 424421102.

201124424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509594 + ... + 813593.

Almost surely, 2201124424000 is an apocalyptic number.

201124424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201124424000 is an abundant number, since it is smaller than the sum of its proper divisors (323175589120).

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

201124424000 is a wasteful number, since it uses less digits than its factorization.

201124424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323233 (or 1323213 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201124424000 its reverse (424421102), we get a palindrome (201548845102).

The spelling of 201124424000 in words is "two hundred one billion, one hundred twenty-four million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9500 15200 19000 30400 38000 76000 152000 1323187 2646374 5292748 6615935 10585496 13231870 21170992 25140553 26463740 33079675 42341984 50281106 52927480 66159350 84683968 100562212 105854960 125702765 132318700 165398375 201124424 211709920 251405530 264637400 330796750 402248848 423419840 502811060 529274800 628513825 661593500 804497696 1005622120 1058549600 1257027650 1323187000 1608995392 2011244240 2117099200 2514055300 2646374000 3142569125 4022488480 5028110600 5292748000 6285138250 8044976960 10056221200 10585496000 12570276500 20112442400 25140553000 40224884800 50281106000 100562212000 201124424000