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11011111120 = 245477194073
BaseRepresentation
bin10100100000101000…
…00011100011010000
31001102101100101211101
422100110003203100
5140022321023440
65020342154144
7536602620532
oct122024034320
931371311741
1011011111120
114740537839
122173722954
131066317b89
14766563852
15446a3669a
hex2905038d0

11011111120 has 80 divisors (see below), whose sum is σ = 26188323840. Its totient is φ = 4303680512.

The previous prime is 11011111117. The next prime is 11011111121. The reversal of 11011111120 is 2111111011.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 11011111097 and 11011111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2701404 + ... + 2705476.

It is an arithmetic number, because the mean of its divisors is an integer number (327354048).

Almost surely, 211011111120 is an apocalyptic number.

11011111120 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 11011111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094161920).

11011111120 is an abundant number, since it is smaller than the sum of its proper divisors (15177212720).

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

11011111120 is a wasteful number, since it uses less digits than its factorization.

11011111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11011111120 its reverse (2111111011), we get a palindrome (13122222131).

The spelling of 11011111120 in words is "eleven billion, eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 719 752 940 1438 1880 2876 3595 3760 4073 5752 7190 8146 11504 14380 16292 20365 28760 32584 33793 40730 57520 65168 67586 81460 135172 162920 168965 191431 270344 325840 337930 382862 540688 675860 765724 957155 1351720 1531448 1914310 2703440 2928487 3062896 3828620 5856974 7657240 11713948 14642435 15314480 23427896 29284870 46855792 58569740 117139480 137638889 234278960 275277778 550555556 688194445 1101111112 1376388890 2202222224 2752777780 5505555560 11011111120