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11020201120 = 255257283947
BaseRepresentation
bin10100100001101101…
…01110110010100000
31001110000110012222001
422100312232302200
5140032132413440
65021305053344
7540043110145
oct122066566240
931400405861
1011020201120
114745686235
122176787254
13106817b486
1476784c3cc
1544772eb9a
hex290daeca0

11020201120 has 96 divisors (see below), whose sum is σ = 26256581568. Its totient is φ = 4370792448.

The previous prime is 11020201111. The next prime is 11020201133. The reversal of 11020201120 is 2110202011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11020201097 and 11020201106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11636487 + ... + 11637433.

It is an arithmetic number, because the mean of its divisors is an integer number (273506058).

Almost surely, 211020201120 is an apocalyptic number.

11020201120 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 11020201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128290784).

11020201120 is an abundant number, since it is smaller than the sum of its proper divisors (15236380448).

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

11020201120 is a wasteful number, since it uses less digits than its factorization.

11020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11020201120 its reverse (2110202011), we get a palindrome (13130403131).

The spelling of 11020201120 in words is "eleven billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 283 514 566 947 1028 1132 1285 1415 1894 2056 2264 2570 2830 3788 4112 4528 4735 5140 5660 7576 8224 9056 9470 10280 11320 15152 18940 20560 22640 30304 37880 41120 45280 72731 75760 145462 151520 243379 268001 290924 363655 486758 536002 581848 727310 973516 1072004 1163696 1216895 1340005 1454620 1947032 2144008 2327392 2433790 2680010 2909240 3894064 4288016 4867580 5360020 5818480 7788128 8576032 9735160 10720040 11636960 19470320 21440080 38940640 42880160 68876257 137752514 275505028 344381285 551010056 688762570 1102020112 1377525140 2204040224 2755050280 5510100560 11020201120