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11101242000 = 243534145127
BaseRepresentation
bin10100101011010111…
…11000001010010000
31001122122221112011010
422111223320022100
5140213404221000
65033322050520
7542046000012
oct122553701220
931578845133
1011101242000
1147873a8472
122199949a40
13107bbb4564
147745061b2
1544e8dbd50
hex295af8290

11101242000 has 160 divisors (see below), whose sum is σ = 36664153344. Its totient is φ = 2888064000.

The previous prime is 11101241989. The next prime is 11101242037. The reversal of 11101242000 is 24210111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223437 + ... + 268563.

Almost surely, 211101242000 is an apocalyptic number.

11101242000 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 11101242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332076672).

11101242000 is an abundant number, since it is smaller than the sum of its proper divisors (25562911344).

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

11101242000 is a wasteful number, since it uses less digits than its factorization.

11101242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45194 (or 45178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11101242000 its reverse (24210111), we get a palindrome (11125452111).

The spelling of 11101242000 in words is "eleven billion, one hundred one million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 45127 49200 61500 82000 90254 123000 135381 180508 225635 246000 270762 361016 451270 541524 676905 722032 902540 1083048 1128175 1353810 1805080 1850207 2166096 2256350 2707620 3384525 3610160 3700414 4512700 5415240 5550621 5640875 6769050 7400828 9025400 9251035 10830480 11101242 11281750 13538100 14801656 16922625 18050800 18502070 22202484 22563500 27076200 27753105 29603312 33845250 37004140 44404968 45127000 46255175 54152400 55506210 67690500 74008280 88809936 90254000 92510350 111012420 135381000 138765525 148016560 185020700 222024840 231275875 270762000 277531050 370041400 444049680 462551750 555062100 693827625 740082800 925103500 1110124200 1387655250 1850207000 2220248400 2775310500 3700414000 5550621000 11101242000