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11223232331120 = 245198388960307
BaseRepresentation
bin1010001101010001110011…
…0001101011110101110000
31110201221010100200001202222
42203110130301223311300
52432340134434043440
635511514243100212
72235565105532165
oct243243461536560
943657110601688
1011223232331120
113637823075367
121313179971668
13635466999704
142ab2c8d4206c
15146e1e5322b5
hexa351cc6bd70

11223232331120 has 80 divisors (see below), whose sum is σ = 27798317043840. Its totient is φ = 4201773172992.

The previous prime is 11223232331117. The next prime is 11223232331123. The reversal of 11223232331120 is 2113323232211.

11223232331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11223232331117) and next prime (11223232331123).

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 11223232331120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223232331123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44353994 + ... + 44606313.

It is an arithmetic number, because the mean of its divisors is an integer number (347478963048).

Almost surely, 211223232331120 is an apocalyptic number.

11223232331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223232331120 is an abundant number, since it is smaller than the sum of its proper divisors (16575084712720).

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

11223232331120 is a wasteful number, since it uses less digits than its factorization.

11223232331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88960422 (or 88960416 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11223232331120 its reverse (2113323232211), we get a palindrome (13336555563331).

The spelling of 11223232331120 in words is "eleven trillion, two hundred twenty-three billion, two hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 83 95 152 166 190 304 332 380 415 664 760 830 1328 1520 1577 1660 3154 3320 6308 6640 7885 12616 15770 25232 31540 63080 126160 88960307 177920614 355841228 444801535 711682456 889603070 1423364912 1690245833 1779206140 3380491666 3558412280 6760983332 7116824560 7383705481 8451229165 13521966664 14767410962 16902458330 27043933328 29534821924 33804916660 36918527405 59069643848 67609833320 73837054810 118139287696 135219666640 140290404139 147674109620 280580808278 295348219240 561161616556 590696438480 701452020695 1122323233112 1402904041390 2244646466224 2805808082780 5611616165560 11223232331120