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11012110111120 = 245733191590923
BaseRepresentation
bin1010000000111111010011…
…1010010101000110010000
31102222202011212222001201111
42200033310322111012100
52420410300142023440
635230521001143104
72214412232343616
oct240176472250620
942882155861644
1011012110111120
113566234088708
12129a27948aa94
1361b58c32c691
142a0dbba576b6
151416b492a4ea
hexa03f4e95190

11012110111120 has 80 divisors (see below), whose sum is σ = 25962061571712. Its totient is φ = 4343134878720.

The previous prime is 11012110111087. The next prime is 11012110111127. The reversal of 11012110111120 is 2111101121011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11012110111120.

It is not an unprimeable number, because it can be changed into a prime (11012110111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18339979 + ... + 18930901.

Almost surely, 211012110111120 is an apocalyptic number.

11012110111120 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 11012110111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981030785856).

11012110111120 is an abundant number, since it is smaller than the sum of its proper divisors (14949951460592).

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

11012110111120 is a wasteful number, since it uses less digits than its factorization.

11012110111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594200 (or 594194 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11012110111120 its reverse (2111101121011), we get a palindrome (13123211232131).

The spelling of 11012110111120 in words is "eleven trillion, twelve billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 3191 5840 6382 12764 15955 25528 31910 51056 63820 127640 232943 255280 465886 590923 931772 1164715 1181846 1863544 2329430 2363692 2954615 3727088 4658860 4727384 5909230 9317720 9454768 11818460 18635440 23636920 43137379 47273840 86274758 172549516 215686895 345099032 431373790 690198064 862747580 1725495160 1885635293 3450990320 3771270586 7542541172 9428176465 15085082344 18856352930 30170164688 37712705860 75425411720 137651376389 150850823440 275302752778 550605505556 688256881945 1101211011112 1376513763890 2202422022224 2753027527780 5506055055560 11012110111120