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11100503000 = 235319837039
BaseRepresentation
bin10100101011010010…
…00011101111011000
31001122121112222102202
422111221003233120
5140213212044000
65033254145332
7542036501336
oct122551035730
931577488382
1011100503000
114786a43224
122199652248
13107b9b6092
14774392b56
1544e7e2dd5
hex295a43bd8

11100503000 has 128 divisors (see below), whose sum is σ = 27675648000. Its totient is φ = 4155235200.

The previous prime is 11100502997. The next prime is 11100503059. The reversal of 11100503000 is 30500111.

11100503000 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 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 31 ways as a sum of consecutive naturals, for example, 1573481 + ... + 1580519.

It is an arithmetic number, because the mean of its divisors is an integer number (216216000).

Almost surely, 211100503000 is an apocalyptic number.

11100503000 is a gapful number since it is divisible by the number (10) 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 11100503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837824000).

11100503000 is an abundant number, since it is smaller than the sum of its proper divisors (16575145000).

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

11100503000 is a wasteful number, since it uses less digits than its factorization.

11100503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The spelling of 11100503000 in words is "eleven billion, one hundred million, five hundred three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 83 95 100 125 152 166 190 200 250 332 380 415 475 500 664 760 830 950 1000 1577 1660 1900 2075 2375 3154 3320 3800 4150 4750 6308 7039 7885 8300 9500 10375 12616 14078 15770 16600 19000 20750 28156 31540 35195 39425 41500 56312 63080 70390 78850 83000 133741 140780 157700 175975 197125 267482 281560 315400 351950 394250 534964 584237 668705 703900 788500 879875 1069928 1168474 1337410 1407800 1577000 1759750 2336948 2674820 2921185 3343525 3519500 4673896 5349640 5842370 6687050 7039000 11100503 11684740 13374100 14605925 16717625 22201006 23369480 26748200 29211850 33435250 44402012 55502515 58423700 66870500 73029625 88804024 111005030 116847400 133741000 146059250 222010060 277512575 292118500 444020120 555025150 584237000 1110050300 1387562875 2220100600 2775125750 5550251500 11100503000