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11103412423212 = 2233731709824077
BaseRepresentation
bin1010000110010011011011…
…1101000000101000101100
31110022110211220101002012000
42201210312331000220230
52423404242040020322
635340500502412300
72224123624240464
oct241446675005054
943273756332160
1011103412423212
1135a0a2693608a
1212b3aba431090
1362707cbb9115
142a559d8b8ba4
15143c5a2a23ac
hexa1936f40a2c

11103412423212 has 96 divisors (see below), whose sum is σ = 29198072433600. Its totient is φ = 3648296526336.

The previous prime is 11103412423211. The next prime is 11103412423231. The reversal of 11103412423212 is 21232421430111.

11103412423212 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 3 + 412 + 4 + 232 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11103412423211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13061718 + ... + 13885794.

It is an arithmetic number, because the mean of its divisors is an integer number (304146587850).

Almost surely, 211103412423212 is an apocalyptic number.

11103412423212 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 11103412423212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599036216800).

11103412423212 is an abundant number, since it is smaller than the sum of its proper divisors (18094660010388).

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

11103412423212 is a wasteful number, since it uses less digits than its factorization.

11103412423212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825872 (or 825864 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11103412423212 its reverse (21232421430111), we get a palindrome (32335833853323).

The spelling of 11103412423212 in words is "eleven trillion, one hundred three billion, four hundred twelve million, four hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1709 1971 2628 3418 3942 5127 6836 7884 10254 15381 20508 30762 46143 61524 92286 124757 184572 249514 374271 499028 748542 824077 1122813 1497084 1648154 2245626 2472231 3296308 3368439 4491252 4944462 6736878 7416693 9888924 13473756 14833386 22250079 29666772 44500158 60157621 89000316 120315242 180472863 240630484 360945726 541418589 721891452 1082837178 1408347593 1624255767 2165674356 2816695186 3248511534 4225042779 5633390372 6497023068 8450085558 12675128337 16900171116 25350256674 38025385011 50700513348 76050770022 102809374289 152101540044 205618748578 308428122867 411237497156 616856245734 925284368601 1233712491468 1850568737202 2775853105803 3701137474404 5551706211606 11103412423212