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11041120300212 = 22321947751457319
BaseRepresentation
bin1010000010101011011000…
…0011011010110010110100
31110002112001122202100210100
42200222312003122302310
52421344203244101322
635252115354154100
72216460153026442
oct240526603326264
943075048670710
1011041120300212
1135775706280a2
1212a3a14a22930
13621233614242
142a2570847b92
151423116d6dac
hexa0ab60dacb4

11041120300212 has 144 divisors (see below), whose sum is σ = 30043509350400. Its totient is φ = 3407933736000.

The previous prime is 11041120300211. The next prime is 11041120300219. The reversal of 11041120300212 is 21200302114011.

11041120300212 is a `hidden beast` number, since 1 + 10 + 411 + 2 + 0 + 30 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041120300211) 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, 23914489 + ... + 24371807.

It is an arithmetic number, because the mean of its divisors is an integer number (208635481600).

Almost surely, 211041120300212 is an apocalyptic number.

11041120300212 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 11041120300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021754675200).

11041120300212 is an abundant number, since it is smaller than the sum of its proper divisors (19002389050188).

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

11041120300212 is a wasteful number, since it uses less digits than its factorization.

11041120300212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458146 (or 458141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11041120300212 its reverse (21200302114011), we get a palindrome (32241422414223).

The spelling of 11041120300212 in words is "eleven trillion, forty-one billion, one hundred twenty million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 751 846 893 1502 1692 1786 2253 2679 3004 3572 4506 5358 6759 8037 9012 10716 13518 14269 16074 27036 28538 32148 35297 42807 57076 70594 85614 105891 128421 141188 171228 211782 256842 317673 423564 457319 513684 635346 670643 914638 1270692 1341286 1371957 1829276 2011929 2682572 2743914 4023858 4115871 5487828 6035787 8047716 8231742 8689061 12071574 16463484 17378122 21493993 24143148 26067183 34756244 42987986 52134366 64481979 78201549 85975972 104268732 128963958 156403098 193445937 257927916 312806196 343446569 386891874 408385867 686893138 773783748 816771734 1030339707 1225157601 1373786276 1633543468 2060679414 2450315202 3091019121 3675472803 4121358828 4900630404 6182038242 6525484811 7350945606 12364076484 13050969622 14701891212 16141988743 19576454433 26101939244 32283977486 39152908866 48425966229 58729363299 64567954972 78305817732 96851932458 117458726598 145277898687 193703864916 234917453196 290555797374 306697786117 581111594748 613395572234 920093358351 1226791144468 1840186716702 2760280075053 3680373433404 5520560150106 11041120300212