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12224100431004 = 223711123110746991
BaseRepresentation
bin1011000111100010010100…
…1010011111010010011100
31121021121112120120112102120
42301320211022133102130
53100234424202243004
641555401344022540
72401106414155530
oct261704512372234
947247476515376
1012224100431004
113993237014580
121455142601a50
136a895ca6cb07
1430391479dbc0
15162e9c0c33d9
hexb1e2529f49c

12224100431004 has 96 divisors (see below), whose sum is σ = 35589910659072. Its totient is φ = 3172511448000.

The previous prime is 12224100430987. The next prime is 12224100431087. The reversal of 12224100431004 is 40013400142221.

12224100431004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4236052 + ... + 6510939.

It is an arithmetic number, because the mean of its divisors is an integer number (370728236032).

Almost surely, 212224100431004 is an apocalyptic number.

12224100431004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12224100431004 is an abundant number, since it is smaller than the sum of its proper divisors (23365810228068).

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

12224100431004 is a wasteful number, since it uses less digits than its factorization.

12224100431004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748247 (or 10748245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12224100431004 its reverse (40013400142221), we get a palindrome (52237500573225).

The spelling of 12224100431004 in words is "twelve trillion, two hundred twenty-four billion, one hundred million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1231 2462 3693 4924 7386 8617 13541 14772 17234 25851 27082 34468 40623 51702 54164 81246 94787 103404 162492 189574 284361 379148 568722 1137444 10746991 21493982 32240973 42987964 64481946 75228937 118216901 128963892 150457874 225686811 236433802 300915748 354650703 451373622 472867604 709301406 827518307 902747244 1418602812 1655036614 2482554921 3310073228 4965109842 9930219684 13229545921 26459091842 39688637763 52918183684 79377275526 92606821447 145525005131 158754551052 185213642894 277820464341 291050010262 370427285788 436575015393 555640928682 582100020524 873150030786 1018675035917 1111281857364 1746300061572 2037350071834 3056025107751 4074700143668 6112050215502 12224100431004