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11241112003000 = 2353117912935687
BaseRepresentation
bin1010001110010100011001…
…1111001110000110111000
31110210122021102102111122121
42203211012133032012320
52433133244133044000
635524032350331024
72240100143325355
oct243450637160670
943718242374577
1011241112003000
1136443687414a0
1213167297b9a74
13637055cb9909
142ac1037a962c
1514761906cb1a
hexa39467ce1b8

11241112003000 has 128 divisors (see below), whose sum is σ = 29058729523200. Its totient is φ = 4035934032000.

The previous prime is 11241112002977. The next prime is 11241112003007. The reversal of 11241112003000 is 30021114211.

11241112003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241112003007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598844 + ... + 7336843.

It is an arithmetic number, because the mean of its divisors is an integer number (227021324400).

Almost surely, 211241112003000 is an apocalyptic number.

11241112003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241112003000 is an abundant number, since it is smaller than the sum of its proper divisors (17817617520200).

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

11241112003000 is a wasteful number, since it uses less digits than its factorization.

11241112003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12935798 (or 12935784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11241112003000 its reverse (30021114211), we get a palindrome (11271133117211).

The spelling of 11241112003000 in words is "eleven trillion, two hundred forty-one billion, one hundred twelve million, three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 125 158 200 220 250 275 316 395 440 500 550 632 790 869 1000 1100 1375 1580 1738 1975 2200 2750 3160 3476 3950 4345 5500 6952 7900 8690 9875 11000 15800 17380 19750 21725 34760 39500 43450 79000 86900 108625 173800 217250 434500 869000 12935687 25871374 51742748 64678435 103485496 129356870 142292557 258713740 284585114 323392175 517427480 569170228 646784350 711462785 1021919273 1138340456 1293568700 1422925570 1616960875 2043838546 2587137400 2845851140 3233921750 3557313925 4087677092 5109596365 5691702280 6467843500 7114627850 8175354184 10219192730 11241112003 12935687000 14229255700 17786569625 20438385460 22482224006 25547981825 28458511400 35573139250 40876770920 44964448012 51095963650 56205560015 71146278500 89928896024 102191927300 112411120030 127739909125 142292557000 204383854600 224822240060 255479818250 281027800075 449644480120 510959636500 562055600150 1021919273000 1124111200300 1405139000375 2248222400600 2810278000750 5620556001500 11241112003000