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11145222555124 = 22717193557346453
BaseRepresentation
bin1010001000101111001100…
…0010000000010111110100
31110110110202201111211212011
42202023303002000113310
52430100403433230444
635412013342534004
72230134001425010
oct242136302002764
943413681454764
1011145222555124
113607731639009
121300028597304
1362acb3c98348
142a7608639540
15144da5b44734
hexa22f30805f4

11145222555124 has 96 divisors (see below), whose sum is σ = 24850895973120. Its totient is φ = 4257734326272.

The previous prime is 11145222555119. The next prime is 11145222555127. The reversal of 11145222555124 is 42155522254111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145222555127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31996282 + ... + 32342734.

It is an arithmetic number, because the mean of its divisors is an integer number (258863499720).

Almost surely, 211145222555124 is an apocalyptic number.

11145222555124 is a gapful number since it is divisible by the number (14) 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 11145222555124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425447986560).

11145222555124 is an abundant number, since it is smaller than the sum of its proper divisors (13705673417996).

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

11145222555124 is a wasteful number, since it uses less digits than its factorization.

11145222555124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350057 (or 350055 counting only the distinct ones).

The product of its digits is 160000, while the sum is 40.

The spelling of 11145222555124 in words is "eleven trillion, one hundred forty-five billion, two hundred twenty-two million, five hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 3557 4522 7114 9044 14228 24899 49798 60469 67583 99596 120938 135166 241876 270332 346453 423283 473081 692906 846566 946162 1148911 1385812 1693132 1892324 2297822 2425171 4595644 4850342 5889701 6582607 8042377 9700684 11779402 13165214 16084754 23558804 26330428 32169508 41227907 46078249 82455814 92156498 111904319 164911628 184312996 223808638 447617276 783330233 1232333321 1566660466 2464666642 3133320932 4929333284 8626333247 17252666494 20949666457 23414333099 34505332988 41899332914 46828666198 83798665828 93657332396 146647665199 163900331693 293295330398 327800663386 398043662683 586590660796 655601326772 796087325366 1592174650732 2786305638781 5572611277562 11145222555124