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111301201341100 = 225271179160754497
BaseRepresentation
bin11001010011101001010100…
…100100011010101010101100
3112121002021212002102200112001
4121103221110210122222230
5104042024330020403400
61032415022132222044
732305150345443361
oct3123512444325254
9477067762380461
10111301201341100
11325116355a4771
1210596b0316a924
134a1487323c604
141d6b014c88468
15cd02edd3aa6a
hex653a5491aaac

111301201341100 has 144 divisors (see below), whose sum is σ = 246451431098880. Its totient is φ = 43620255078400.

The previous prime is 111301201341049. The next prime is 111301201341107. The reversal of 111301201341100 is 1143102103111.

111301201341100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (111301201341107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042309052 + ... + 2042363548.

It is an arithmetic number, because the mean of its divisors is an integer number (1711468271520).

Almost surely, 2111301201341100 is an apocalyptic number.

111301201341100 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 111301201341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123225715549440).

111301201341100 is an abundant number, since it is smaller than the sum of its proper divisors (135150229757780).

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

111301201341100 is a wasteful number, since it uses less digits than its factorization.

111301201341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56368 (or 56361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 111301201341100 its reverse (1143102103111), we get a palindrome (112444303444211).

The spelling of 111301201341100 in words is "one hundred eleven trillion, three hundred one billion, two hundred one million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 179 284 355 358 710 716 895 1420 1607 1775 1790 3214 3550 3580 4475 6428 7100 8035 8950 12709 16070 17900 25418 32140 40175 50836 54497 63545 80350 108994 114097 127090 160700 217988 228194 254180 272485 287653 317725 456388 544970 570485 575306 635450 1089940 1140970 1150612 1270900 1362425 1438265 2281940 2724850 2852425 2876530 3869287 5449700 5704850 5753060 7191325 7738574 9754963 11409700 14382650 15477148 19346435 19509926 20423363 28765300 38692870 39019852 40846726 48774815 77385740 81693452 87576679 96732175 97549630 102116815 175153358 193464350 195099260 204233630 243874075 350306716 386928700 408467260 437883395 487748150 510584075 692602373 875766790 975496300 1021168150 1385204746 1751533580 2042336300 2189416975 2770409492 3463011865 4378833950 6217944209 6926023730 8757667900 12435888418 13852047460 15676225541 17315059325 24871776836 31089721045 31352451082 34630118650 62179442090 62704902164 69260237300 78381127705 124358884180 155448605225 156762255410 310897210450 313524510820 391905638525 621794420900 783811277050 1113012013411 1567622554100 2226024026822 4452048053644 5565060067055 11130120134110 22260240268220 27825300335275 55650600670550 111301201341100