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11142300113112 = 2337617937136987
BaseRepresentation
bin1010001000100100010011…
…0101110001100011011000
31110110012020001102102002010
42202021010311301203120
52430023412312104422
635410411344505520
72230001404164630
oct242110465614330
943405201372063
1011142300113112
113606471a31083
1212bb55191b2a0
1362a93969a80c
142a740c4616c0
15144c842c0b0c
hexa2244d718d8

11142300113112 has 128 divisors (see below), whose sum is σ = 32361343741440. Its totient is φ = 3130908180480.

The previous prime is 11142300113101. The next prime is 11142300113177. The reversal of 11142300113112 is 21131100324111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81269883 + ... + 81406869.

It is an arithmetic number, because the mean of its divisors is an integer number (252822997980).

Almost surely, 211142300113112 is an apocalyptic number.

11142300113112 is a gapful number since it is divisible by the number (12) 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 11142300113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180671870720).

11142300113112 is an abundant number, since it is smaller than the sum of its proper divisors (21219043628328).

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

11142300113112 is a wasteful number, since it uses less digits than its factorization.

11142300113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145001 (or 144997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11142300113112 its reverse (21131100324111), we get a palindrome (32273400437223).

The spelling of 11142300113112 in words is "eleven trillion, one hundred forty-two billion, three hundred million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 7937 10248 15874 23811 31748 47622 55559 63496 95244 111118 136987 166677 190488 222236 273974 333354 410961 444472 484157 547948 666708 821922 958909 968314 1095896 1333416 1452471 1643844 1917818 1936628 2876727 2904942 3287688 3389099 3835636 3873256 5753454 5809884 6778198 7671272 8356207 10167297 11506908 11619768 13556396 16712414 20334594 23013816 25068621 27112792 33424828 40669188 50137242 58493449 66849656 81338376 100274484 116986898 175480347 200548968 233973796 350960694 467947592 701921388 1087265819 1403842776 2174531638 3261797457 4349063276 6523594914 7610860733 8698126552 13047189828 15221721466 22832582199 26094379656 30443442932 45665164398 60886885864 66323214959 91330328796 132646429918 182660657592 198969644877 265292859836 397939289754 464262504713 530585719672 795878579508 928525009426 1392787514139 1591757159016 1857050018852 2785575028278 3714100037704 5571150056556 11142300113112